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Self-dual Codes-Theme and Variations

2001
Self-dual codes over GF(2), GF(3) and GF(4) were classified from the early 70's until the early 80's. A method for how to do this and efficient descriptions of the codes were developed [3, 4, 17, 20, 21]. New results related to the binary classifications have recently appeared. New formats and classifications have also recently occurred.
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A note on self-dual group codes

IEEE Transactions on Information Theory, 2002
Summary: We classify group algebras over Galois rings containing self-dual ideals; i.e., ideals \(C\) which satisfy \(C= C^\perp\) with respect to the natural nondegenerate bilinear form given on group algebras.
openaire   +2 more sources

MDS or NMDS self-dual codes from twisted generalized Reed–Solomon codes

Designs, Codes, and Cryptography, 2021
Qin Yue, Yongfeng Niu
exaly  

A Unified Approach to Construct MDS Self-Dual Codes via Reed-Solomon Codes

IEEE Transactions on Information Theory, 2020
Aixian Zhang, Keqin Feng
exaly  

On the classification and enumeration of self-dual codes

Finite Fields and Their Applications, 2005
W Cary Huffman
exaly  

A new upper bound on the minimal distance of self-dual codes

IEEE Transactions on Information Theory, 1990
N J A Sloane
exaly  

New extremal self-dual codes of lengths 36, 38, and 58

IEEE Transactions on Information Theory, 2001
Jon-Lark Kim
exaly  

New MDS Self-Dual Codes From Generalized Reed—Solomon Codes

IEEE Transactions on Information Theory, 2017
Chaoping Xing, Lingfei Jin
exaly  

Self-Dual Near MDS Codes from Elliptic Curves

IEEE Transactions on Information Theory, 2019
Lingfei Jin, Haibin Kan
exaly  

New MDS self-dual codes over finite fields

Designs, Codes, and Cryptography, 2011
Kenza Guenda
exaly  

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