Results 51 to 60 of about 290,159 (337)
Construction of MDS Euclidean Self-Dual Codes via Two Subsets [PDF]
IEEE Transactions on Information Theory, 2020 The parameters of a $q$ -ary MDS Euclidean self-dual codes are completely determined by its length and the construction of MDS Euclidean self-dual codes with new length has been widely investigated in recent years.
Weijun Fang, Shutao Xia, Fangwei Fu
semanticscholar +1 more source
Binary formally self-dual odd codes [PDF]
, 2017 Most of the research on formally self-dual (f.s.d.) codes has been developed for binary f.s.d. even codes, but only limited research has been done for binary f.s.d. odd codes. In this article we complete the classification of binary f.s.d.
이윤진, 이혜숙
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Classification of self-dual cyclic codes over the chain ring Z(p)[u]/< u(3)> [PDF]
, 2021 We classify all the cyclic self-dual codes of length p(k) over the finite chain ring R := Z(p)[u]/< u(3)>, which is not a Galois ring, where p is a prime number and k is a positive integer.
이윤진
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Extended binary Golay codes by a group algebra of one group
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2020 Extended binary Golay codes are examples of extreme binary self-dual codes of Type II (linear binary self-dual codes with Hamming distance between arbitrary codewords which are multiples of 4 that has the highest possible minimum Hamming distance among ...
М. Ю. Бортош +1 more
doaj +1 more source
Narain CFTs and error-correcting codes on finite fields
Journal of High Energy Physics, 2022 We construct Narain CFTs from self-dual codes on the finite field F p through even self-dual lattices for any prime p > 2. Using this correspondence, we can relate the spectral gap and the partition function of the CFT to the error correction capability ...
Shinichiro Yahagi
doaj +1 more source
Trellis structure and higher weights of extremal self-dual codes [PDF]
, 2020 [[abstract]]A method for demonstrating and enumerating uniformly efficient (permutation-optimal) trellis decoders for self-dual codes of high minimum distance is developed.
陳後守, Chen, HS
core
Additive Self-Dual Codes over GF(4) with Minimal Shadow
Information, 2018 We define additive self-dual codes over G F ( 4 ) with minimal shadow, and we prove ...
Sunghyu Han
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Reversible Self-Dual Codes Over the Ring F2 +
IEEE AccessIn this study, we introduce bisymmetric self-dual codes over the finite field ${\mathbb F}_{2}$ of order two. We developed a method to generate binary bisymmetric self-dual codes from a small-length bisymmetric self-dual code by increasing its length ...
Hyun Jin Kim, Whan-Hyuk Choi
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Composite matrices from group rings, composite G-codes and constructions of self-dual codes [PDF]
Designs, Codes and Cryptography, 2020 In this work, we define composite matrices which are derived from group rings. We extend the idea of G-codes to composite G-codes. We show that these codes are ideals in a group ring, where the ring is a finite commutative Frobenius ring and G is an ...
S. Dougherty +3 more
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Unique Generators for Cyclic Codes of Arbitrary Length over Fpmu/u3 and Their Applications
Journal of Mathematics, 2022 Cyclic codes play a very important role in the history of coding theory since they have good algebraic structures that can be widely used in coding and decoding.
Hongju Li +3 more
doaj +1 more source