Search Results - "linear binary code"

Construction of a Linear Binary Code with Maximum Coding Rate

Authors: Artyom S. Adszhemov Ildar I. Basyrov

Source: 2025 Systems of Signal Synchronization, Generating and Processing in Telecommunications (SYNCHROINFO). :1-5

All-Optical Linear Binary Code Generator Using Optical Nonlinear Material Based Devices

Authors: Ashis Kumar Mandal

Source: International Journal of Computer Sciences and Engineering. 6:642-656

Subject Terms: 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology

Linear binary code for write-once memories (Corresp.)

Authors: Gérard D. Cohen F. Merkx Philippe Godlewski

Source: IEEE Transactions on Information Theory. 32:697-700

Subject Terms: 0202 electrical engineering, electronic engineering, information engineering, 0102 computer and information sciences, 02 engineering and technology, 01 natural sciences

Access URL: http://ieeexplore.ieee.org/document/1057221/
https://ieeexplore.ieee.org/document/1057221/
https://dblp.uni-trier.de/db/journals/tit/tit32.html#CohenGM86
https://dl.acm.org/doi/10.1109/TIT.1986.1057221

Approximate computation of the weight function of a linear binary code

Authors: Vyalyj, M. N.

Subject Terms: Other types of codes, weight function of a linear code, approximate computation, linear code, Approximation methods and heuristics in mathematical programming

File Description: application/xml

Access URL: https://zbmath.org/2239557

Minimum possible block length of a linear binary code for some distances

Authors: Dodunekov, S. M. Manev, N. L.

Subject Terms: Griesmer bound, binary linear code, weight enumeration, Linear codes (general theory)

File Description: application/xml

Access URL: https://zbmath.org/3871182

Analysis of Properties of Quantum Hashing

Authors: Vasiliev A. Vasilov A. Latypov M.

Source: SCOPUS10723374-2019-241-2-SID85069921974

Subject Terms: particle swarm algorithm, 81P94, linear binary code, random search, quantum cryptography, quantum hashing, 0102 computer and information sciences, 0101 mathematics, 01 natural sciences, quantum computing

Access URL: https://openrepository.ru/article?id=197040
https://link.springer.com/article/10.1007%2Fs10958-019-04412-9

The joint weight enumerator of an LCD code and its dual

Authors: Adel Alahmadi Michel Deza Mathieu Dutour-Sikirić et al.

Source: Discrete Applied Mathematics. 257:12-18

Subject Terms: FOS: Computer and information sciences, Mathematics - Metric Geometry, Computer Science - Information Theory, Information Theory (cs.IT), FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, Metric Geometry (math.MG), 0102 computer and information sciences, 02 engineering and technology, Linear binary code, LCD code, Linear programming bounds, 01 natural sciences

Access URL: http://arxiv.org/pdf/1511.08889
http://arxiv.org/abs/1511.08889
https://www.bib.irb.hr/1028502
https://doi.org/10.1016/j.dam.2018.10.032
https://dblp.uni-trier.de/db/journals/corr/corr1511.html#AlahmadiDSS15
https://www.bib.irb.hr/1028502
https://arxiv.org/abs/1511.08889
http://ui.adsabs.harvard.edu/abs/2015arXiv151108889A/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0166218X18305791
https://dblp.uni-trier.de/db/journals/dam/dam257.html#AlahmadiDSS19

Lower bounds on P(E) for M-equally likely signals derived from a linear binary code

Authors: Labonté, J. S. É.

File Description: application/pdf

Availability: http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp04/mq22770.pdf

Error-correcting codes from graphs

Authors: Vladimir D. Tonchev

Source: Discrete Mathematics. 257:549-557

Subject Terms: majority decoding, Graphs and linear algebra (matrices, eigenvalues, etc.), Gilbert-Varshamov bound, linear binary code, quantum-error-correcting code, Applications of graph theory, 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, Discrete Mathematics and Combinatorics, 02 engineering and technology, 01 natural sciences, Linear codes (general theory), Theoretical Computer Science

File Description: application/xml

Access URL: https://zbmath.org/1839013
https://doi.org/10.1016/s0012-365x(02)00513-7
https://digitalcommons.mtu.edu/math-fp/129/
https://doi.org/10.1016/S0012-365X(02)00513-7
https://www.sciencedirect.com/science/article/pii/S0012365X02005137
https://dblp.uni-trier.de/db/journals/dm/dm257.html#Tonchev02
https://www.sciencedirect.com/science/article/abs/pii/S0012365X02005137

The joint weight enumerator of an LCD code and its dual

Authors: Dutour Sikirić, Mathieu

Source: Discrete applied mathematics. 257:12-18

Subject Terms: Linear binary code, Linear programming bounds, LCD code

Weight distribution and dual distance

Authors: Patrick Solé

Source: Applicable Algebra in Engineering, Communication and Computing. 5:117-122

Subject Terms: linear binary code, 0102 computer and information sciences, 02 engineering and technology, 01 natural sciences, dual distance, extreme weights, upper bounds, self-dual codes, Pless identities, 0202 electrical engineering, electronic engineering, information engineering, minimum distance, Krawtchouk polynomials, orthogonal polynomials, Linear codes (general theory)

File Description: application/xml

Access URL: https://zbmath.org/556286
https://doi.org/10.1007/bf01438280
https://dblp.uni-trier.de/db/journals/aaecc/aaecc5.html#Sole94
https://link.springer.com/article/10.1007%2FBF01438280

A new presentation of Cheng-Sloane's [32,17,8]-code: A new presentation of Cheng-Sloane's \([32,17,8]\)-code

Authors: Arnd Vom Felde

Source: Archiv der Mathematik. 60:508-511

Subject Terms: linear binary code, modular representation, 0202 electrical engineering, electronic engineering, information engineering, minimum distance, representation theory, group algebra, 0102 computer and information sciences, 02 engineering and technology, coding theory, 01 natural sciences, Linear codes (general theory)

File Description: application/xml

Access URL: https://zbmath.org/446351
https://doi.org/10.1007/bf01236073
https://link.springer.com/article/10.1007/BF01236073

Linear binary code for write-once memories (Corresp.).

Authors: Cohen, G. Godlewski, P. Merkx, F.

Source: IEEE Transactions on Information Theory; 1986, Vol. 32 Issue 5, p697-700, 4p

Detection codes in railway interlocking systems

Authors: Kárná, Lucie Klapka, Štěpán

Subject Terms: keyword:railway interlocking systems, keyword:undetected error, keyword:safety code, keyword:linear binary code, keyword:error detection, keyword:binary symmetrical channel, msc:94B05, msc:94B70

File Description: application/pdf

Relation: mr:MR3204437; zbl:Zbl 1340.94085

Availability: http://hdl.handle.net/10338.dmlcz/702938

Some Results for Linear Binary Codes With Minimum Distance 5 and 6.

Authors: Bouyukliev, Lliya Varbanov, Zlatko

Source: IEEE Transactions on Information Theory. Dec2005, Vol. 51 Issue 12, p4387-4391. 5p.

Subject Terms: *MATHEMATICAL statistics, *LINEAR programming, *MATHEMATICAL programming, CODING theory, DECODERS & decoding, MATRICES (Mathematics)

On the non \(\mathbb{Z}_4\)-linearity of certain good binary codes

Authors: Fields, Joe Gaborit, Philippe

Subject Terms: \(\mathbb{Z}_4\)-linearity, Linear codes (general theory), extremal doubly-even self-dual linear binary code

File Description: application/xml

Access URL: https://zbmath.org/1365338

Improved Construction of Robust Gray Code

Authors: Fathollahi, Dorsa Wootters, Mary

Index Terms: Computer Science - Information Theory, text

URL: http://arxiv.org/abs/2401.15291

When Do Low-Rate Concatenated Codes Approach The Gilbert-Varshamov Bound?

Authors: Doron, Dean Mosheiff, Jonathan Wootters, Mary

Index Terms: Computer Science - Information Theory, Computer Science - Computational Complexity, text

URL: http://arxiv.org/abs/2405.08584

There Is No Binary [35, 10, 13] Code.

Authors: Tjhai, Cen J. Tomlinson, Martin Grassl, Markus

Source: IEEE Transactions on Information Theory; Sep2011, Vol. 57 Issue 9, p6094-6096, 3p

Subject Terms: BINARY number system, CODING theory, LINEAR systems, ISOMORPHISM (Mathematics), INFORMATION theory, MATHEMATICAL analysis

Improved List-Decodability of Random Linear Binary Codes.

Authors: Li, Ray Wootters, Mary

Source: IEEE Transactions on Information Theory; Mar2021, Vol. 67 Issue 32, p1522-1536, 15p

Subject Terms: LINEAR codes, BINARY codes

Geographic Terms: SUDAN