Výsledky vyhledávání - binary linear code

Weight distributions and weight hierarchies of a class of binary linear codes with a few weights

Autoři: Qiao, Xingbin Du, Xiaoni

Zdroj: Advances in Mathematics of Communications. 19:245-258

Témata: exponential sum, binary linear code, weight hierarchy, Algebraic coding theory, cryptography (number-theoretic aspects), weight distribution, generalized Hamming weight, Linear codes (general theory)

Popis souboru: application/xml

Several classes of wide minimal binary linear codes based on general Maiorana-McFarland class

Autoři: Du, Xiaoni Gao, Siqi Yuan, Wenping a další

Zdroj: Discrete Mathematics. 348:114642

Témata: minimal binary linear code, general Maiorana-McFarland class, Communication, information, Walsh transform, Krawtchouck polynomial, Theory of error-correcting codes and error-detecting codes, Miscellaneous topics in information and communication theory

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8090024
https://doi.org/10.1016/j.disc.2025.114642

Weights of Codewords in Random Binary Linear Codes and Their Correlation Properties

Autoři: İbrahim Özen

Zdroj: European Journal of Pure and Applied Mathematics. 17:4225-4237

Near-Tight Bounds for 3-Query Locally Correctable Binary Linear Codes via Rainbow Cycles

Autoři: Alrabiah, Omar Guruswami, Venkatesan

Zdroj: 2024 IEEE 65th Annual Symposium on Foundations of Computer Science (FOCS). :1874-1882

Témata: FOS: Computer and information sciences, Computer Science - Computational Complexity, Computer Science - Information Theory, Information Theory (cs.IT), FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Computational Complexity (cs.CC)

Přístupová URL adresa: http://arxiv.org/abs/2404.05864

Linear Time Encodable Binary Code Achieving GV Bound with Linear Time Encodable Dual Achieving GV Bound

Autoři: Brehm, Martijn Resch, Nicolas Martijn Brehm and Nicolas Resch

Přispěvatelé: Brehm, Martijn Resch, Nicolas Martijn Brehm and Nicolas Resch

Témata: Binary error-correcting codes, dual codes, fast encoding, repeat-multiple-accumulate codes

Popis souboru: application/pdf

Relation: Is Part Of LIPIcs, Volume 362, 17th Innovations in Theoretical Computer Science Conference (ITCS 2026); https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2026.28

Dostupnost: https://doi.org/10.4230/LIPIcs.ITCS.2026.28
https://nbn-resolving.org/urn:nbn:de:0030-drops-253157
https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2026.28

A Novel Construction Algorithm for Some Optimal Binary Linear Codes

Autoři: Skezeer John B. Paz Ederlina G. Nocon

Zdroj: International Journal of Mathematics and Statistics Invention. 12:08-14

Computing generalized hamming weights of binary linear codes via free resolutions: Computing generalized Hamming weights of binary linear codes via free resolutions

Autoři: García-Marco, Ignacio Márquez-Corbella, Irene Martínez-Moro, Edgar a další

Zdroj: ACM Communications in Computer Algebra. 56:19-24

Témata: 0202 electrical engineering, electronic engineering, information engineering, 0102 computer and information sciences, 02 engineering and technology, 01 natural sciences, Linear codes (general theory)

Popis souboru: application/xml

Linear time encodable binary code achieving GV bound with linear time encodable dual achieving GV bound

Autoři: Brehm, Martijn Resch, Nicolas

Témata: FOS: Computer and information sciences, Information Theory (cs.IT), Information Theory

Přístupová URL adresa: http://arxiv.org/abs/2509.07639

Optimal binary linear codes from posets of the disjoint union of two chains

Autoři: Wu, Yansheng Hyun, Jong Yoon Yue, Qin

Zdroj: Advances in Mathematics of Communications. 16:1051-1058

Témata: Partial orders, general, binary linear code, minimal code, weight distribution, poset of two chains, Linear codes (general theory)

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7708978
https://doi.org/10.3934/amc.2022042

New upper bounds for binary linear covering codes

Autoři: Davydov, Alexander A. Marcugini, Stefano Pambianco, Fernanda

Témata: Combinatorics, 94B65, 94B25, 94B60, 94B05, FOS: Mathematics, Combinatorics (math.CO)

Přístupová URL adresa: http://arxiv.org/abs/2511.02542

On the Hasse diagram of binary linear codes

Autoři: Lisbeth D. Delgado-Ordoñez John H. Castillo Alexander Holguín-Villa

Zdroj: Discrete Mathematics, Algorithms and Applications. 16

Témata: partially ordered set, Applications of graph theory, coset leader, linear code, 0102 computer and information sciences, graph, 0101 mathematics, Hasse diagram, 01 natural sciences, Linear codes (general theory)

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8041340
https://doi.org/10.1142/s1793830923501148

Utilizing AVX Instruction Set for Optimizing Algorithms for Weight Characteristics of Binary Linear Code

Autoři: Pashinska, Maria Bouyukliev, Iliya

Zdroj: Innovative STEM Education. 3:151-156

Témata: Linear Codes, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, Weight Distribution, 0101 mathematics, AVX - 512, 01 natural sciences, Algorithms

Přístupová URL adresa: https://hdl.handle.net/10525/4194

Designing quantum circuits for decoding binary linear codes

Autoři: Hyungkee Yoo Whan-Hyuk Choi Yoonjin Lee

Zdroj: Journal of Physics A: Mathematical and Theoretical. 58:015302

Témata: binary linear code, Quantum computation, 0103 physical sciences, Quantum gates, decoding algorithm, quantum circuit, Quantum coding (general), 01 natural sciences, Grover's algorithm

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7967589
https://doi.org/10.1088/1751-8121/ad955d

Shortest self-orthogonal embeddings of binary linear codes

Autoři: An, Junmin Kaplan, Nathan Kim, Jon-Lark a další

Témata: Combinatorics, Information Theory, 94B05

Přístupová URL adresa: http://arxiv.org/abs/2511.05440

Construction of Minimal Binary Linear Codes of dimension $n+3$

Autoři: Shaikh, Wajid M. Jain, Rupali S. Reddy, B. Surendranath a další

Témata: Computer Science - Information Theory, Mathematics - Rings and Algebras, 94B05, 94C10, 94A60, text

URL: http://arxiv.org/abs/2403.13350

A note on the minimal binary linear code

Autoři: Tang, Deng Li, Xia

Zdroj: Cryptography and Communications. 12:375-388

Témata: preferred binary linear codes, 0202 electrical engineering, electronic engineering, information engineering, Algebraic coding theory, cryptography (number-theoretic aspects), 0102 computer and information sciences, 02 engineering and technology, Boolean functions, 01 natural sciences, linear codes, Linear codes (general theory), minimal codes

Popis souboru: application/xml

Binary linear codes with a fixed point free permutation automorphism of order three

Autoři: Aksu, Fatma Altunbulak Hafezieh, Roghayeh Tuvay, İpek

Témata: Computer Science - Information Theory, 94B05, 11T71, 20B05, text

URL: http://arxiv.org/abs/2402.10667

Binary linear codes via 4D discrete Ihara–Selberg function: Binary linear codes via 4D discrete Ihara-Selberg function

Autoři: Loebl, Martin

Zdroj: Annales de l’Institut Henri Poincaré D, Combinatorics, Physics and their Interactions. 6:73-95

Témata: hyper-matrix, Convolutional codes, Bass' theorem, Ising partition function, 01 natural sciences, Graph polynomials, graph polynomial, hyper-determinant, binary linear code, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), 0101 mathematics, discrete Ihara-Selberg function, weight enumerator

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/1503.02525
http://arxiv.org/abs/1503.02525

More on Incorrigible Sets of Binary Linear Codes

Autoři: Haiyang LIU Lianrong MA Lingjun KONG

Zdroj: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences. 2023, E106.A(5):863

Minimal Binary Linear Codes

Autoři: Cunsheng Ding Ziling Heng Zhengchun Zhou

Zdroj: IEEE Transactions on Information Theory. 64:6536-6545

Témata: Linear code, Binary code, 4. Education, Boolean function, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, Secret sharing, 16. Peace & justice, Minimal code