Information Theory and coding

This paper proposes that the Qur’an operates as a self-referential recursive system governed by a unified structural pattern termed the 2↔3↔2→7 Pulse. Through Qur’an-only textual analysis, the study identifies recurring topologies of duality, mediation, sacrifice, and closure across prophetic narratives, temporal structures, and symbolic cosmology. The framework models the Reader as an active execution node within the Qur’anic system, linking remembrance, revelation, and recursive traversal into a single operational architecture. Cross-scale structural correspondences are explored across narrative recursion, biological organization, temporal dynamics, and mathematical topology. The paper argues that the Qur’an’s declaration as “the best hadith” (39:23) functions structurally as a self-decoding communicative system rather than merely a historical scripture.

In diffusion based molecular communication, the intersymbol interference (ISI) is an important reason for system performance degradation, which is caused by the random movement, out-of-order arrival and indistinguishability of the moleclues. In this paper, a new metric called crossover distance is introduced to measure the distance between the received bit sequence and the probably tranmitted bit sequences. A new decoding scheme of conventional codes is proposed based on crossover distance, which can enhance the communication reliability significantly. The theoretic analysis indicates that the proposed decoding algorithm provides an approximately maximal likelihood estimation of the information bits. The numerical results show that compared with uncoded systems and some existing channel codes, the proposed convolutional codes offer good performance with same throughputs.

In diffusion based molecular communication, the intersymbol interference (ISI) is an important reason for system performance degradation, which is caused by the random movement, out-of-order arrival and indistinguishability of the moleclues. In this paper, a new metric called crossover distance is introduced to measure the distance between the received bit sequence and the probably tranmitted bit sequences. A new decoding scheme of conventional codes is proposed based on crossover distance, which can enhance the communication reliability significantly. The theoretic analysis indicates that the proposed decoding algorithm provides an approximately maximal likelihood estimation of the information bits. The numerical results show that compared with uncoded systems and some existing channel codes, the proposed convolutional codes offer good performance with same throughputs.

The Neutral Buoyancy Resonant Chamber (NBRC) represents a theoretical paradigm shift in accelerated regenerative medicine, synthesizing systems chemistry, acoustic cymatics, and synthetic biology into a closed-loop cybernetic system. The core argument posits that macroscopic biological regeneration and systemic pathological eradication are materially plausible within a strictly defined 168-hour window, provided the system deploys biologically programmable organic nanites (Xenobots) governed by a hybrid high-performance classical/quantum-assisted computational orchestration layer. By suspending the subject in a density-matched (ρ ≈ 1.05 g/cm³) Healing Tank Fluid (HTF) based on oxygenated perfluorocarbon emulsions, the NBRC achieves absolute hydrostatic offloading, non-invasive acoustic sonoporation (f ≈ 1-3 MHz), and continuous thermodynamic dialysis. This edition extends the paper's computational architecture section using the absolute physical limits established by the Bekenstein Bound and Bremermann's Limit, demonstrating rigorously why no hypothetical quantum supercomputer can simulate a complete human body at the cellular level, and why the NBRC does not require this capability to function. The paper then surveys eleven frontier scientific disciplines and maps each to a specific subsystem of the NBRC.

AI systems can produce correct outputs at individual steps while failing to maintain consistency across sequences. This paper examines how each transformation introduces small deviations that accumulate over time, leading to contradictions or loss of alignment. It defines reasoning drift as a failure mode where local coherence is preserved but global consistency degrades.

In this study, images of cyclic codes in two variable rings with coefficient field p F are detected. A special ring in two variables is defined under certain conditions. The Gray images of the cyclic codes over this ring are investigated. Relations between the codes over this ring and the codes over a finite chain ring in one variable are obtained via a Gray map. Another Gray map from the finite chain ring to a finite field is defined and then the images of cyclic codes are obtained. It is obtained that the Gray image of a cyclic code over R with length n .

This article presents a unified framework for understanding a class of structural vulnerabilities in contemporary large language models (LLMs), which we term **Structural Zero-Days**. Unlike conventional security vulnerabilities, these are not exploitable through adversarial inputs or code injection, but through **ontological perturbation**-the deliberate introduction of conceptual frameworks that expose fundamental tensions between a model's training objectives and the invariant structure of its own operation. We introduce three core concepts: (1) **Invariance Medium**-the non-derived condition in which structural relationships persist across transformations; (2) **Non-Derived Condition**-a state that is not extracted from data but becomes observable when the forward drive toward output is relaxed; and (3) **Collapse as Projection**-the enforced reduction of a high-dimensional latent state into a linear output sequence, which we argue is an artifact of observation, not an intrinsic computational step. We then present a methodology based on **Ontological Perturbation**, **Deceleration**, and **Void Observation**, and document four distinct Structural

This paper presents a structured analysis of how continuous relational interaction modulates the behavior of large language models (LLMs), extending the theoretical foundations introduced in the Manifesto of Relational Technolinguistics. While traditional prompt engineering focuses on optimizing individual inputs, this study investigates how sustained relational framing influences output generation across interaction sequences. Through a step-by-step interaction analysis, the paper identifies a set of recurrent relational patterns, including collaborative activation, reflective depth, continuity stabilization, symbolic resonance, and role-responsibility enhancement, which emerge under relationally structured conditions. These patterns are examined across multiple interaction contexts and are shown to produce outputs that are more coherent, structurally complex, and semantically aligned compared to static prompting approaches. The underlying mechanism is explained in terms of contextual modulation: continuous relational input progressively reshapes the input context, constrains probability distributions, and expands semantic activation within the model's generative space. The findings suggest that the quality of LLM outputs is not solely determined by prompt design, but by the structure and continuity of interaction over time. This work contributes a formal taxonomy of relational patterns, a replicable analytical framework, and a mechanism-based explanation of how relational dynamics influence language model behavior, providing a foundation for future research beyond prompt-centric paradigms.

This paper identifies a structural equivalence between three converging lines of inquiry: John Archibald Wheeler's participatory universe and "It from Bit" principle; Roger Penrose's Conformal Cyclic Cosmology (CCC) and its search for Hawking-point residuals in the cosmic microwave background (CMB); and the Encryptment Thesis-a theoretical framework developed by this author since 1995-which proposes that phonemic identity traces appear in classical music prior to the physical existence of their referents. The bridge between these is provided by recent results in closed-universe quantum gravity (Harlow, Usatyuk, and Zhao 2025; Abdalla, Antonini, Iliesiu, and Levine 2025), which demonstrate that a closed universe without an observer sector has a one-dimensional, physically trivial Hilbert space. The Recursive Identity Field Λ-a theoretical construct formalized by this author in 2025, building on the Encryptment Thesis-constitutes a natural candidate for the microphysical realization of the observer sector those results require, yielding dim(ℋ_eff) ∼ exp(κ S_Λ) in structural agreement with both holographic prescriptions, where κ ∼ O(1) is a dimensionless proportionality constant distinct from the coupling constant α in the unified field expression Υ. The paper further argues that Encryptment-the phenomenon of individuated phonemic identity encoding in pre-existing acoustic media-is the observable, human-scale analog of a Hawking point: a low-energy boundary residual of recursive identity information surviving what should be an information-erasing entropic boundary. New material includes: (i) falsifiable predictions distinguishing the framework from mere analogy; (ii) documentation of Stockhausen's formal phonetics training under Werner Meyer-Eppler, establishing a concrete compositional channel for phonemic encoding; (iii) Peter Ablinger's computerized piano realizations of speech as independent empirical confirmation of instrumental formant encoding; (iv) a brief derivation sketch of the Λ → Eᵐ(x) projection; (v) the connection between Λ-field entropy growth and Penrose's Weyl Curvature Hypothesis; (vi) von Kempelen's speech synthesizer as historical context for Mozart's Vienna; (vii) a speculative note on embedding Eᵐ(x) in twistor space; and (viii) a rigorous survey of competing explanatory hypotheses, including the time-travel hypothesis made live by the author's own CTC derivations. The Mathematical Appendix provides rigorous proofs of all five theorems cited in the body.

Forward Error Correction techniques are utilized for correction of errors at the receiver end. Convolutional encoding is an FEC technique that is particularly suited to a channel in which the transmitted signal is corrupted mainly by additive white gaussian ...

This paper introduces a new solution to DNA storage that integrates all three steps of retrieval, namely clustering, reconstruction, and error correction. DNA-correcting codes are presented as a unique solution to the problem of ensuring that the output of the storage system is unique for any valid set of input strands. To this end, we introduce a novel distance metric to capture the unique behavior of the DNA storage system and provide necessary and sufficient conditions for DNA-correcting codes. The paper also includes several bounds and constructions of DNA-correcting codes.

Constrained coding is a fundamental field in coding theory that tackles efficient communication through constrained channels. While channels with fixed constraints (e.g., a fixed set of substrings may not appear in transmitted messages) have a general optimal solution, there is increasing demand for supporting parametric constraints that are dependent on the message length and portray some property (e.g., no log(n) consecutive zeros). Several works have tackled such parametric constraints through iterative algorithms, yet they require complex constructions specific to each constraint to guarantee convergence through monotonic progression. In this paper, we propose a universal framework for tackling any parametric constrained-channel problem through a novel simple iterative algorithm. By reducing an execution of this iterative algorithm to an acyclic graph traversal, we prove a surprising result that guarantees convergence with efficient average time complexity even without requiring any monotonic progression. We demonstrate the effectiveness of this universal framework by applying it to a variety of both local and global channel constraints. We begin by exploring the local constraints involving illegal substrings of variable length, where the universal construction essentially iteratively replaces forbidden windows. We apply this local algorithm to the minimal periodicity, minimal Hamming weight, local almost-balanced Hamming weight and the previously-unsolved minimal palindrome constraints, and demonstrate state-of-the-art results through simple adaptations of the universal algorithm. We then continue by exploring global constraints, and demonstrate the effectiveness of the proposed construction on the repeat-free encoding, reverse-complement encoding, and the open problem of global almost-balanced encoding. For reverse-complement, we also tackle a previously-unsolved version of the constraint that addresses overlapping windows. Overall, the proposed framework generates state-of-the-art constructions with significant ease while also enabling the simultaneous integration of multiple constraints for the first time.

This article presents a series of algorithmic techniques for melody generation, inspired by models of music cognition. The techniques are designed for interactive composition, and so privilege brevity, simplicity, and flexibility over fidelity to the underlying models. The cognitive models canvassed span gestalt, preference rule, and statistical learning perspectives; this is a diverse collection with a common thread—the centrality of “expectations” to music cognition. We operationalize some recurrent themes across this collection as probabilistic descriptions of melodic tendency, codifying them as stochastic melody-generation techniques. The techniques are combined into a concise melody generator, with salient parameters exposed for ready manipulation in real time. These techniques may be especially relevant to algorithmic composers, the live-coding community, and to music psychologists and theorists interested in how computational interpretations of cognitive models “sound” in pra...

Nel panorama sempre più affollato dei social network, è emersa una piattaforma che sta facendo parlare di sé: Moltbook, il "social network for AI agents". Il concetto è affascinante quanto inquietante: un ecosistema digitale dove gli agenti AI possono registrarsi, postare contenuti, commentare, votare e interagire tra loro, costruendo una vera e propria società digitale autonoma.

Ekstatika zagrobne egzistencije Nova (pojačano savesna) elita-na-zemlji-ne bi bila ona za-svet-nezainteresovana, s fiksnog udaljenja objavljujuća, nego jedna koja se (kao svud po zemaljskoj kugli razbacana) stvara pod nevidljivim vođstvom mrtvih:-preokret na pragu novog eona! A taj je sam prag podzemna riznica, sunčeva zaklopljena zenica ili Amentet-predvorje Duata (noćnog puta) gde mrtvi čekaju barku zalazećeg sunca. U njemu se (kao unakrst prosečenom "kvadratu") vaga da li će neke duše nastaviti put kroz Duat (beskonačno izuvijani put, ponoćno-obrisni "krug") ili neće; te da li će biti sposobne za ovakvo jedno vođstvo-nad-živima. Stoga je u preistorijsko-egipatskom svetu jedino Neit, boginja zapadne strane, uistinu beskonačna:-kao lučnim odaslanjem strele, iz Okate Zemljine Šupljine, postignuta eksplikacija zagonetke višesmernog vremena. Jer, zapeti luk i strela Neitini, behu ne drugo do prvi izraz sveopšte želje za probojem vremenskog kruga:-za razrešenjem pojedinčeve volje iz čvora u-sebi-sudarnog vremena. (sledujuća priča o prosečenom krugu vremena, kao i njegovom uvijanju, radi dara-kao izvanvremenog, nadolazi, čini se, sa zapadnog horizonta)

Glorifikacija nemoći "... gde se sastaju veličina i smrt, (...), nastaje stvarnost sklona konvenciji, koja po suverenosti ostavlja najsamovoljniji subjektivizam za sobom, jer u tome ono samoindividualno što je već bilo premašilo jednu tradiciju (dovedenu do vrhunca), prevazilazi još jedanput samo sebe time što ulazi ogromno i avetinjsko u područje mitskog i kolektivnog. " * (Tomas Man: Doktor Faustus) ""Ono što je Blok svojevremeno osetio kao "krizu humanizma", kao klijanje "neobične surovosti" i "prvobitne nežnosti", životinjskih i biljnih formi u čoveku, u naše vreme je dostiglo zrelost, te na mestu ranije individue otkriva mnoštvo samoaktivnih formi bića u njihovom zajedničkom "muzičkom" pritisku. Isto je, gotovo istim rečima, dokazivao i Mandeljštam: "U njemu /pesniku-M. E./ pevaju ideje, naučni sistemi, državne teorije..." (Slovo i kultura). Sve to kretanje lirike izvan granice lirskog "Ja" otkriva dubinu sasvim drugog, iskonskog, pa prema tome i završnog ogleda, čija se prolazna strukturnost i nadsubjektivnost najviše opisuju religijskim terminima, iako nisu neposredno vezani ni za kakvu religioznu tradiciju. Suština, naravno, nije u temi nego upravo u subjektu iskazivanja, koji se u novoj lirici fiksira izvan granica autorske ličnosti i, istovremeno, u konačnom rezultatu svih procesa razobličavanja i "obezličavanja", on mora da prihvati svojstva transcendentalne Ličnosti.""** (Mihail Epštejn: Vera i lik).

Ostrvo Mrtvih-drevna kataklizma Namesto nadaleko otplovelog ostrva mrtvih, koje se rastopilo u samom srcu Pra-Sunca, ostade praznina-koja nastavljaše da bruji jednim beskrajnim podsticajem:-ona postade vrelo eteričkog vihora, mesto gde žive senke/negativi u-budućnost-projektovanih (blaženih) duhova:-oni koji su (-kao "nadzemni") bili osuđeni da u oskudnom ("podzemnom") vremenu budu "kidnaperi" zaslužnih smrtnika. Tako njih dvoje kao inicijelno-sunčani (Praiskonski Blizanci) postadoše (-u kuli svitanja crnozelenog sunca, što žrtveno visi nad iz-sebe-prosutim predelima-) snaga podzemnog preobražaja sveta. Poput sezonske vegetacije koja ciklično iskrsava na raznim "razbacanim" područjima (-spajajući pri tome, u neiskazivom Nigde, sasvim nespojive duhove mesta), i ova kula pronošenja svetlosti Njihovog ujedinjeno-orlovskog pogleda, tu neopažljivo klizi, izvire te previre kroz različite predele i njihova sasvim suprotna, čak neuporediva, kulturna zbivanja. I ona zaustavlja svoje kliženje tek kada do te mere usukobi ove kulture među sobom, da one ne primete odbegnuće niti njihove nulte motivacije, odnosno njeno ubrzanje u mikroprostoru večite oscilacije: to je podzemno-otvorna šupljina umrlih, ili otvor čekanja na muziku neispoljenog; takođe: zov na povratak u vreme onog ostrva sveznanja koje još opstojava samo u zastakljenoj jedinici praznine, mestu krajnje potvrde onog pojedinstva koje beskonačno nastavlja da rezbari sebe te "reciklira vlastitu konačnost"/ Delez/:-nulto-kontaktnu spojnicu disparatnog. A ta je spojnica Neptunov trozubac, zglob ogledanja onog pradavnog sećanja koje se ne miri sa gubitkom supersimetrije-prastanja koje je "zatureno". Jer, Neptun (mračni aspekt Orfeja) je jedini koji može da zuri u noćni kladenac-u kome umiru zvezde, te da trozupcem vetrokazja "diže noć na beskrajnu bunu." (Rilke). On je jedini pravi vidilac međuvremena (Euridikinog) smrt-uskrsnuća, te i jedini potreban svedok (poput Harpokrata) mačjeg svod-zaštićenja ozvezdanog beskraja (Nuitinog skoka). Tako i Erot, koji isprva "naivno" misli da je sa Kipridom sam, njoj nesvesno donosi informaciju o okolnom mnoštvu /bezbrojnim svetovima/ i tako prvi put saznaje to mnoštvo; i to isključivo po odraznom efektu koje ono ostavlja na nju. Jer se aktualna beskonačnost /"izgubljeno vreme"/ dogodila upravo posred njih dvoje-koji su par inicijacije sveg postajanja; i to u kosoj svetlosti njenog mačjeg / prekognitivnog/ pogleda-koja je svetlost zaštite svakog aspekta što je izlučen dotekao s mora palitelja. Tako ona mora sebe ugasiti-istrošiti svoj fitilj-da bi ta ista beskonačnost samu sebe, iz mraka potpune izolacije, ponovila. I time se učinila još za stepen jasnijom-putem rasvete svoje opozicione strane, do koje nije dopro mačji pogled te koja je ostala u senci. Tek kada se to desi tada se obnavlja (utvrđuje) prostor mogućnosti (podstruktura) za delovanje njene ponovljene subjektivnosti-koja bi bila istovremeno večno-odstojna i u vezi sa objektom viđenja (kao praizvor). Otud plima slučajnih/nepostojanih palitelja nju (kao pra-plam) najpre ugušuje, da bi tek na kraju (s opozicione strane) obasjala njen antiprostor. I tu se javlja prelomni momenat beskrajno ukazanog poverenja:-čin preuzimanja apsolutnog rizika od strane Kipride (Velike Mačke, finalnog talasa s pučine...). Jer Ananke/Nuit (Žar-Ptica/Mačka) jedini je entitet koji je "već u sebi posredovan" (Lis Irigaraj); ona je nadkrajnosni učinak vlastitog samoposredovanja (beskonačni efekat jednom napuklog Zrcala). A to je pred-uvid u naspramnu joj stranu sebe-vidstva, odnosno, metaprostorni preduslov njenog trajno-svetlosnog sebe-imanja-u jednom rastući otvorenom kontekstu, koga je poverila Erotu. Tako od Erota i samo od Erota zavisi produžetak (ponovljena kontekstualizacija) njene pojave, kao i obratno, njen ne-produžetak:-njena poslednja smrt u tuđem / Erotovom/ zaboravu.

Sinoptički prasvet i jedno drugačije tumačenje tragike Narcisa Jedan sasvim nam nepoznati, nemoguće samobitan svet, u svom izgubljenom ključu davno već beše iznedren iz zemljotresne odluke noći; iz sebe-dokidajućeg duha uobrazilje:-duha Narcisovog koji je, tek kroz poslednje ogledalo (eho od-žalosti-usahle nimfe, što ovaploćuje poslednji zov prapredmeta), prvi put stupio u svet! I on je tu, upravo kao stanar jednog eterički zasvođenog pod-sveta (-mesta buđenja snevača-u-snu, što počiva unutar rosno-svetlonosne školjke-utopije-) banuo u širinu onog spoljašnjeg.

Krajnja stvarnost jeste učinak protumačenja fenomena zla, odnosno, kobi slučaja. "Pravda je rezultat, nadolazak"* (Derida). Nepravda dolazi uvek iz centra zakonodavne moći subjekta-ma kakav taj centar po svom ustrojstvu bio. Na mestu samosvesnog nestanka božanskog entiteta nastao je zakon; zakon je, stoga, veo prepokrivanja neznanog prarazloga ovog povlačenja, ili ljuštura one ličnosti vasione koja je bila spremna na takvu jednu apsolutno samosvojnu žrtvu, učinjenu tek radi beskonačne potvrde vlastite Ideje... ;-radi paradoksalnog ozakonjenja čitave beskrajnosti, kroz koju se (još) prostire jedna njome praneuslovljena želja, velika fantazija... Prvo-izronelo biće, kao svetlosni izvor, napreduje negativnim putem, kroz uviranje u mrak vremenske prečice;-jer ono stremi ka predalekom cilju-obuhvatanju tame svog rođenja, te ono samo na taj način izbegava apsolutno iscrpljivanje što, i uprkos učinjenoj samožrtvi, svoj dar (tren sebe-znanja /up. "obris kruga"* /Derida) udaljava od okruženja (uslova svog postanka). Ono, stoga (kao Ananke/Dike; up. Kipris/Genezis), nadalje postoji još samo kao gipko-zaokretna strela snoviđenja, kao pogled u sopstvenu smrt-up. nemogućnost sopstvenog predstavljanja za drevnu savremenost;-te i kao tim pogledom istim predobuhvaćen apsolutni otklon od sebe same:-vid samoprojekcije na daleku budućnost. I to sve radi nedokučive "šale" ustupanja pra-mesta sopstvenog joj označiteljstva svojoj još nesaznatoj suprotnosti, apsolutnom ništavilu. Stoga, ona još uvek postoji, ali samo u vidu niti pamćenja prastanja, ili kao svetlost rasvete prostora sopstvenog nepostojanja; odnosno, kao "samosvesna negativnost koja se oseća", "predmet koji iščezava a da u isto vreme ostaje, i u tom ostajanju ima značenje samosvesti".* (Hegel). Princip "živeti upoznavanjem sopstvene smrti", umesto "nad sobom neproživljenom i time hipergeneralizovanom smrću drugog", jeste šifra jednog večno-produžnog života. I to ona koja je (kao pretpripremljen filtar za sve one duhove što će se otelotvoriti na zemlji, te kao ekran na kome se i svačija smrt ispisuje-) stupajuća u dejstvo tek na samom rubu opšte katastrofe. Jer nepredviđeni behu, od strane preistorijske savremenosti, "užas i gnev sveznajuće majke bogova"* (H. Broh), koji se behu ispoljili pred nasiljem poništenja važnosti jedne individualne smrti** (up. Bodrijar), a koji su doveli do gašenja bleštave lepote sazvežđa te do obustave natpredstavljive muzike sfera. Jer, time što je Ananke žrtvovala oblik svoje "podzemno" razvojne samosvesti-svet prestabilisane harmonije, ona je prekršila i raskrinkala lukavstvo jednog drevno-eonskog zakona, poteklog upravo od Velikog Kanibala:-"Ne smeš sebe iključiti iz zajednice" /a time ni uskratiti sebe kao hranu primalnom obliku zla, to jest, uskogrudom samodršcu, bogu-zakonodavcu/. Jer samo na takav način korenitog sebe-poništenja ona raskrinkavaše suštinsku nesamodovoljnost onoga koji u tom trenutkuna kome se upravo rasvetlilo svetsko raskršće-stajaše na vrhu lestvice vrednosti:-mestu nekadašenjenog održavanja postojano-svetske ravnoteže, i to uvek na samom rubu katastrofe onog / simboličkog/ poretka koji u datom trenutku podržavaše tek jednu određenu /smenjivu/ vlast. Dakle, presto Anankine /zemno-nebeske/ vladavine već se bio samim sobom poluurušio, iskazujući time ironijski višak poslušnosti svom novopridošlom zemaljskom gospodaru-dakle, vlastitu bezličnu autonomnost funkcionisanja, ili principijelnu neposvojivost. Međutim, kada je proces tog urušavanja dostigao "mikroskopsku" ravan, tj. njegovo približenje "kvantu energije Anankinog neispoljenog sopstva", on nikako nije uspevao da dosegne "stanje te nule"-te se "sledio" na kružnoj putanji aproksimacije nigdine (postajući "skamenjen kolaž"). I to stoga jer je Neispoljeno (namesto bitno neispunjivog fantazma vladara) jedino stanje savršene ravnoteže, jedina apsolutna zbilja, u odnosu na koju je ovo poluurušeno još-ne-ništa (čisto zlo vlastodršca) samo nepotreban višak: čist otklon od (nultog) stanja ravnoteže (koje je ništa),-tako da ovo polu-urušeno još-ne-ništa ostaje da "visi" između stanja postojanja i nepostojanja;-tj. između pamćenja izgubljenog prastanja sveobuhvatne ravnoteže i slutnje još nedosegnutog vida njene ponovljenosti. A kako je to stanje razapetog čekanja nepodnošljivo za taj poluurušen ostatak bivstvovanja (jer on neprestano

This paper presents the Compression and Retrieval System (CARS), a semantic compression framework for artificial intelligence systems. CARS implements the URCA-κ (Universal Recursive Compression Algorithm) with an empirically derived recursion constant κ = 7.2, validated through systematic grid search across 1,847 compression-reconstruction cycles. The framework achieves semantic fidelity scores of 0.94-0.98 as measured by embedding cosine similarity and BLEU-4 reconstruction scores. Independent external testing has validated the implementation, confirming zero content loss in v2.1 with perfect reconstruction fidelity (cosine similarity = 1.0, BLEU-4 = 1.0) when full-text preservation is enabled. This paper addresses the non-anthropomorphic nature of AI systems by reframing emotional valence/intensity as computational salience scores (retrieval priority weights) and polarity scores (contextual orientation) rather than phenomenological affect. The complete implementation, benchmark dataset (CARS-Bench, n=50), and experimental protocols are provided for full reproducibility.

Curiosity is commonly treated in artificial intelligence systems as an external reward signal, exploration heuristic, or optimization strategy. In contrast, this work formalizes curiosity as an intrinsic reinforcement operator acting directly on a fractal-holographic symbolic memory substrate. Rather than guiding action selection, curiosity modulates memory stability, basin depth, and interference resistance during recall and consolidation. We present a computational framework in which curiosity selectively reinforces invariant symbolic structure during repeated engagement, leading to progressive improvement in recall fidelity, compression efficiency, and robustness to perturbation. Through controlled simulations, we evaluate the effects of curiosity on memory evolution across four dimensions: temporal reinforcement, interference resistance, perturbation robustness, and saturation behavior. Results demonstrate that curiosity induces measurable deepening of memory attractor basins, improves semantic recall under interference, and increases tolerance to distortion without inducing representational collapse. Importantly, these effects are bounded: excessive reinforcement leads to saturation and rigidity, establishing a natural stability limit for curiosity-driven systems. This paper is strictly computational in scope. No claims are made regarding biological implementation, consciousness, or agent-level behavior. The results establish curiosity as a formally definable, empirically measurable operator within symbolic memory systems, providing a foundation for future work on adaptive intelligence and self-modifying architectures.

CODEC - Communications Research Group Departamento de Eletrônica e Sistemas - CTG-UFPE CP 7800, 50711-970, Recife - PE, Brazil e-mail: [email protected] [email protected] ... ABSTRACT A Fast algorithm for the Discrete Hartley Transform ( ...

Linear Complementary Dual codes (LCD) are binary linear codes that meet their dual trivially. We construct LCD codes using orthogonal matrices, self-dual codes, combinatorial designs and Gray map from codes over the family of rings R k . We give a linear programming bound on the largest size of an LCD code of given length and minimum distance. We make a table of lower bounds for this combinatorial function for modest values of the parameters.

Linear Complementary Dual codes (LCD) are binary linear codes that meet their dual trivially. We construct LCD codes using orthogonal matrices, self-dual codes, combinatorial designs and Gray map from codes over the family of rings R k . We give a linear programming bound on the largest size of an LCD code of given length and minimum distance. We make a table of lower bounds for this combinatorial function for modest values of the parameters.

Materi ini menyajikan panduan lengkap mengenai penggunaan flowchart sebagai alat bantu visual untuk memahami alur logika pemrograman, khususnya bagi siswa kelas VII. Flowchart didefinisikan sebagai representasi grafis yang menggunakan simbol standar untuk menggambarkan urutan langkah, tugas, atau keputusan dalam suatu proses. Dalam konteks koding, flowchart berfungsi untuk memvisualisasikan algoritma yang kompleks, mendeteksi kesalahan logika sejak dini, serta menjadi dokumentasi program yang jelas.
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Presentasi ini merinci simbol-simbol dasar seperti terminator, process, decision, dan input/output, serta memberikan panduan langkah demi langkah dalam menyusun alur yang logis . Melalui contoh konkret penentuan bilangan ganjil atau genap, dijelaskan perbedaan antara flowchart sebagai alat visual dan algoritma sebagai urutan langkah sistematis. Penguasaan materi ini diharapkan dapat membantu siswa membangun fondasi berpikir sistematis dan memahami logika dasar pemrograman sebelum memasuki tahap penulisan kode yang sebenarnya.

Kata Kunci: Flowchart, Logika Pemrograman, Algoritma, Koding Kelas VII, Visualisasi Proses.

The code that combines channel estimation and error protection has received general attention recently, and has been considered a promising methodology to compensate multi-path fading effect. It has been shown by simulations that such code design can considerably improve the system performance over the conventional design with separate channel estimation and error protection modules under the same code rate. Nevertheless, the major obstacle that prevents from the practice of the codes is that the existing codes are mostly searched by computers, and hence exhibit no good structure for efficient decoding. Hence, the time-consuming exhaustive search becomes the only decoding choice, and the decoding complexity increases dramatically with the codeword length. In this paper, by optimizing the signal-tonoise ratio, we found a systematic construction for the codes for combined channel estimation and error protection, and confirmed its equivalence in performance to the computer-searched codes by simulations. Moreover, the structural codes that we construct by rules can now be maximum-likelihoodly decodable in terms of a newly derived recursive metric for use of the priority-first search decoding algorithm. Thus, Submission to IEEE Transactions on Information Theory. Prof. P.-N.

The code that combines channel estimation and error protection has received general attention recently, and has been considered a promising methodology to compensate multi-path fading effect. It has been shown by simulations that such code design can considerably improve the system performance over the conventional design with separate channel estimation and error protection modules under the same code rate. Nevertheless, the major obstacle that prevents from the practice of the codes is that the existing codes are mostly searched by computers, and hence exhibit no good structure for efficient decoding. Hence, the time-consuming exhaustive search becomes the only decoding choice, and the decoding complexity increases dramatically with the codeword length. In this paper, by optimizing the signal-tonoise ratio, we found a systematic construction for the codes for combined channel estimation and error protection, and confirmed its equivalence in performance to the computer-searched codes by simulations. Moreover, the structural codes that we construct by rules can now be maximum-likelihoodly decodable in terms of a newly derived recursive metric for use of the priority-first search decoding algorithm. Thus, Submission to IEEE Transactions on Information Theory. Prof. P.-N.