Search Results - Optimal binary linear code

A Novel Construction Algorithm for Some Optimal Binary Linear Codes

Authors: Skezeer John B. Paz Ederlina G. Nocon

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

Optimal Linear Codes and Their Hulls

Authors: Stefka Bouyuklieva Mariya Dzhumalieva-Stoeva

Source: Mathematics, Vol 13, Iss 15, p 2491 (2025)

Subject Terms: optimal linear codes, hull, binary linear codes, ternary linear codes, self-orthogonal codes, LCD codes, Mathematics, QA1-939

File Description: electronic resource

Relation: https://www.mdpi.com/2227-7390/13/15/2491; https://doaj.org/toc/2227-7390

Access URL: https://doaj.org/article/121807d6dea740fca704d8430e513706

Two Families of Optimal Binary Linear Complementary Pairs of Codes

Authors: Xia Li Zhaole Li

Source: Mathematics, Vol 13, Iss 17, p 2791 (2025)

Subject Terms: linear complementary pair codes, optimal codes, Griesmer bound, Mathematics, QA1-939

File Description: electronic resource

Relation: https://www.mdpi.com/2227-7390/13/17/2791; https://doaj.org/toc/2227-7390

Access URL: https://doaj.org/article/4c182795203948b1bdd945d111c50f56

Optimal minimal linear codes from posets

Authors: Jong Yoon Hyun Hyun Kwang Kim Yansheng Wu et al.

Contributors: Jong Yoon Hyun Hyun Kwang Kim Yansheng Wu et al.

Source: Designs, Codes and Cryptography. 88:2475-2492

Subject Terms: optimal binary linear code, FOS: Computer and information sciences, Computer Science - Information Theory, Information Theory (cs.IT), Minimal binary linear code, Algebraic aspects of posets, weight distribution, 0102 computer and information sciences, 02 engineering and technology, 01 natural sciences, minimal binary linear code, Poset, Optimal binary linear code, poset, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, Mathematics - Combinatorics, Combinatorics (math.CO), Boolean functions, WEIGHT ENUMERATORS, Weight distribution, Linear codes (general theory)

File Description: application/xml

Access URL: http://arxiv.org/pdf/2008.07212
http://arxiv.org/abs/2008.07212
https://zbmath.org/7272710
https://doi.org/10.1007/s10623-020-00793-0
https://arxiv.org/abs/2008.07212

Construction of strongly optimal binary linear code with sets representation.

Authors: Utomo, Putranto Hadi Guritman, Sugi Mas'oed, Teduh Wulandari et al.

Source: AIP Conference Proceedings; 2020, Vol. 2326 Issue 1, p1-4, 4p

Subject Terms: BINARY codes, LINEAR codes, CONSTRUCTION, MAXIMA & minima

Hull dimension of optimal binary LRCs with availability.

Authors: Mukhopadhyay, Deep Bagchi, Satya

Source: Cryptography & Communications; Mar2026, Vol. 18 Issue 2, p571-589, 19p

Subject Terms: PARITY-check matrix, BIPARTITE graphs, LINEAR codes, PARAMETERIZATION, ERROR-correcting codes

Results on Binary Linear Codes With Minimum Distance 8 and 10

Authors: Bouyukliev, I. G. Jakobsson, Erik

Source: IEEE Transactions on Information Theory. 57(9):6089-6093

Subject Terms: Computer and Information Sciences, Data- och informationsvetenskap (Datateknik), Algorithms, classification of codes, linear codes, optimal codes, length

Access URL: https://gup.ub.gu.se/publication/149771

Constructions of Optimal Binary Locally Recoverable Codes via a General Construction of Linear Codes.

Authors: Luo, Gaojun Cao, Xiwang

Source: IEEE Transactions on Communications. Aug2021, Vol. 69 Issue 8, p4987-4997. 11p.

Subject Terms: *SPREAD spectrum communications, LINEAR codes, HAMMING weight

Optimal Alphabets and Binary Labelings for BICM at Low SNR

Authors: Agrell, Erik Alvarado, Alex

Source: IEEE Transactions on Information Theory. 57(10):6650-6672

Subject Terms: bit-interleaved coded modulation, natural binary code, Hadamard transform, Gray code, quadrature amplitude modulation (QAM), Average mutual information, channel capacity, pulse amplitude modulation (PAM), phase shift keying (PSK), binary labeling, Shannon limit, folded binary code

File Description: electronic

Access URL: https://research.chalmers.se/publication/143169
http://publications.lib.chalmers.se/records/fulltext/local_143169.pdf

Bounds and Constructions of Locally Repairable Codes: Parity-Check Matrix Approach.

Authors: Hao, Jie Xia, Shu-Tao Shum, Kenneth W. et al.

Source: IEEE Transactions on Information Theory; Dec2020, Vol. 66 Issue 12, p7465-7474, 10p

Subject Terms: PARITY-check matrix, TWO-dimensional bar codes, LINEAR codes, BINARY codes, REED-Solomon codes

An optimal binary linear functional-repair storage code with efficient repair related to PG(2,8).

Authors: Hollmann, Henk D. L. Ke, Junming Riet, Ago-Erik

Source: Designs, Codes & Cryptography; Nov2025, Vol. 93 Issue 11, p4721-4755, 35p

Subject Terms: PROJECTIVE geometry, LINEAR codes, ERROR-correcting codes, INFORMATION theory, APPLIED sciences

Binary subfield codes of codes over a certain chain ring.

Authors: Bhagat, Anuj Kumar Sagar, Vidya Sarma, Ritumoni

Source: Advances in Mathematics of Communications; Aug2025, Vol. 19 Issue 4, p1-16, 16p

Subject Terms: LINEAR codes, BINARY codes

Constructions of optimal binary locally repairable codes via intersection subspaces.

Authors: Zhang, Wenqin Tang, Deng Ying, Chenhao et al.

Source: SCIENCE CHINA Information Sciences; Jun2024, Vol. 67 Issue 6, p1-15, 15p

Optimal Binary Linear Codes From Maximal Arcs.

Authors: Heng, Ziling Ding, Cunsheng Wang, Weiqiong

Source: IEEE Transactions on Information Theory; Sep2020, Vol. 66 Issue 9, p5387-5394, 8p

Subject Terms: LINEAR codes, BINARY codes, HAMMING codes

Embedding Linear Codes Into Self-Orthogonal Codes and Their Optimal Minimum Distances.

Authors: Kim, Jon-Lark Kim, Young-Hun Lee, Nari

Source: IEEE Transactions on Information Theory; Jun2021, Vol. 67 Issue 6, p3701-3707, 7p

Subject Terms: BINARY codes, LINEAR codes, HAMMING distance, MAXIMA & minima, DISTANCES, QUANTUM computing

Infinite Families of Optimal Linear Codes Constructed From Simplicial Complexes.

Authors: Hyun, Jong Yoon Lee, Jungyun Lee, Yoonjin

Source: IEEE Transactions on Information Theory; Nov2020, Vol. 66 Issue 11, p6762-6773, 12p

Subject Terms: LINEAR codes, BINARY codes, FAMILIES

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

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

Source: Advances in Mathematics of Communications; Nov2022, Vol. 16 Issue 4, p1-8, 8p

Subject Terms: LINEAR codes, BINARY codes, PARTIALLY ordered sets

Optimal quaternary Hermitian LCD codes and their related codes.

Authors: Sun, Zhonghua Huang, Sujuan Zhu, Shixin

Source: Designs, Codes & Cryptography; Apr2023, Vol. 91 Issue 4, p1527-1558, 32p

Subject Terms: LINEAR codes, LIQUID crystal displays, BINARY codes

Some Punctured Codes of Several Families of Binary Linear Codes.

Authors: Wang, Xiaoqiang Zheng, Dabin Ding, Cunsheng

Source: IEEE Transactions on Information Theory; Aug2021, Vol. 67 Issue 8, p5133-5148, 16p

Subject Terms: BINARY codes, LINEAR codes, BENT functions, FINITE fields, BOOLEAN functions, FAMILIES

Optimal Binary Linear Complementary Pairs of Codes.

Authors: Choi, Whan-Hyuk Güneri, Cem Kim, Jon-Lark et al.

Source: Cryptography & Communications; Mar2023, Vol. 15 Issue 2, p469-486, 18p