Results 31 to 40 of about 154,729 (273)
Sum-Rank BCH Codes and Cyclic-Skew-Cyclic Codes [PDF]
IEEE Transactions on Information Theory, 2021 Lemma 26 has been rewritten with respect to the previous ...
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Five Families of Three-Weight Ternary Cyclic Codes and Their Duals
, 2013 As a subclass of linear codes, cyclic codes have applications in consumer electronics, data storage systems, and communication systems as they have efficient encoding and decoding algorithms.
Ding, Cunsheng +2 more
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Constructions of cyclic codes and extended primitive cyclic codes with their applications
Finite Fields and Their Applications, 2023 Linear codes with a few weights have many nice applications including combinatorial design, distributed storage system, secret sharing schemes and so on. In this paper, we construct two families of linear codes with a few weights based on special polynomials over finite fields.
Ziling Heng, Xinran Wang, Xiaoru Li
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The Weight Enumerator of Three Families of Cyclic Codes
, 2013 Cyclic codes are a subclass of linear codes and have wide applications in consumer electronics, data storage systems, and communication systems due to their efficient encoding and decoding algorithms.
Ding, Cunsheng +3 more
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How to Generate Cyclically Permutable Codes From Cyclic Codes [PDF]
IEEE Transactions on Information Theory, 2006 On the basis of the characteristics of cyclic codes, the codeword space can be partitioned into small subspaces where cyclically shifted codewords of a particular codeword occupy the same subspace. A cyclically permutable code generates codewords belonging to each subspace.
Minoru Kuribayashi, Hatsukazu Tanaka
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Optimal quinary cyclic codes with minimum distance four
Tongxin xuebao, 2017 Cyclic codes are an extremely important subclass of linear codes.They are widely used in the communication systems and data storage systems because they have efficient encoding and decoding algorithm.Until now,how to construct the optimal ternary cyclic ...
Ye TIAN, Yu-qing ZHANG, Yu-pu HU
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Monomial codes seen as invariant subspaces
Open Mathematics, 2017 It is well known that cyclic codes are very useful because of their applications, since they are not computationally expensive and encoding can be easily implemented. The relationship between cyclic codes and invariant subspaces is also well known.
García-Planas María Isabel +2 more
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Quantum Synchronizable Codes From Quadratic Residue Codes and Their Supercodes
, 2014 Quantum synchronizable codes are quantum error-correcting codes designed to correct the effects of both quantum noise and block synchronization errors. While it is known that quantum synchronizable codes can be constructed from cyclic codes that satisfy ...
Fujiwara, Yuichiro +2 more
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IEEE Access, 2020 Let p be an odd prime, q = pm, R = Fq + uFq with u2 = 1, and S = Fq + uFq + vFq + uvFq with u2 = 1, v2 = 1, uv = vu. In this paper, FqRS-cyclic codes over FqRS are studied.
Hai Q. Dinh +4 more
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Reproducible families of codes and cryptographic applications
Journal of Mathematical Cryptology, 2021 Structured linear block codes such as cyclic, quasi-cyclic and quasi-dyadic codes have gained an increasing role in recent years both in the context of error control and in that of code-based cryptography.
Santini Paolo +2 more
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