Results 11 to 20 of about 5,817,872 (291)
Self-Dual Convolutional Codes [PDF]
IEEE Transactions on Information Theory, 2022 This paper investigates the concept of self-dual convolutional codes. We derive the basic properties of this interesting class of codes and we show how some of the techniques to construct self-dual linear block codes generalize to self-dual convolutional codes.
Heri, Sebastian +2 more
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On self-dual affine-invariant codes [PDF]
Journal of Combinatorial Theory, Series A, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pascale Charpin +1 more
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, 2002 <p>Submitted - <a href="/records/9d42w-jf423/files/0208001.pdf?download=1">0208001.pdf</a></p>
Rains, E. M., Sloane, N. J. A.
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The classification of self-dual modular codes [PDF]
Finite Fields and Their Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Young Ho Park, Park, Young Ho
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The Existence of a Self-Dual [70, 35, 12] Code and Formally Self-Dual Codes [PDF]
Finite Fields and Their Applications, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Harada, Masaaki
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Neighborhoods of Binary Self-Dual Codes
Contemporary Mathematics, 2023 In this paper, we introduce and investigate the neighborhood of binary self-dual codes. We prove that there is no better Type I code than the best Type II code of the same length. Further, we give some new necessary conditions for the existence of a singly-even (56,28,12)-code and a doubly-even (72,36,16)-code.
Carolin Hannusch, S. Roland Major
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On Self-Dual Four Circulant Codes [PDF]
International Journal of Foundations of Computer Science, 2018 Four circulant codes form a special class of [Formula: see text]-generator, index [Formula: see text], quasi-cyclic codes. Under some conditions on their generator matrix they can be shown to be self-dual. Artin primitive root conjecture shows the existence of an infinite subclass of these codes satisfying a modified Gilbert–Varshamov bound.
Minjia Shi +3 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 Over finite local Frobenius non-chain rings of length 5 and nilpotency index 4 and when the length of the code is relatively prime to the characteristic of the residue field of the ring, the structure of the dual of γ-constacyclic codes is established ...
Castillo-Guillén C. A. +1 more
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Galois self-dual constacyclic codes [PDF]
Designs, Codes and Cryptography, 2016 Key words: Constacyclic code, Galois inner product, $q$-coset function, isometry, Galois self-dual ...
Yun Fan, Liang Zhang
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IEEE Access, 2023 A code over Gaussian or Eisenstein integer residue ring is an additive group of vectors with entries in this integer residue ring which is closed under the action of constant multiplication by the Gaussian or Eisenstein integers. In this paper, we define
Hajime Matsui
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