Results 21 to 30 of about 672 (207)
On Squares of Cyclic Codes [PDF]
IEEE Transactions on Information Theory, 2019 The square $C^{*2}$ of a linear error correcting code $C$ is the linear code spanned by the component-wise products of every pair of (non-necessarily distinct) words in $C$. Squares of codes have gained attention for several applications mainly in the area of cryptography, and typically in those applications one is concerned about some of the ...
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On the exponent of cyclic codes
CoRR, 2022 We propose an algorithm to find a lower bound for the number of cyclic codes over any finite field with any given exponent. Besides, we give a formula to find the exponent of BCH codes.
Anuj Kumar Bhagat, Ritumoni Sarma
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Self-Dual Cyclic Codes Over M2(ℤ4)
Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper, we study the structure of cyclic codes overM2(ℤ4) (the matrix ring of matrices of order 2 over ℤ4), which is perhaps the first time that the ring is considered as a code alphabet.
Bhowmick Sanjit +3 more
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Cyclic and Quasi-Cyclic DNA Codes
CoRR, 2021 draft, 16 ...
Adel Alahmadi +4 more
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Double Cyclic Codes over \({\mathbb{F}_{q}+v\mathbb{F}_{q}}\)
Mathematics, 2020 In this paper, an algebraic structure of a type of double cyclic codes is investigated, which covers some existing codes as special cases. The paper presents generic results about the generating polynomials, minimal generating sets, matrices and dual ...
Tenghui Deng, Jing Yang
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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
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Indecomposability of cyclic codes
Discrete Mathematics, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yoshimi Kashiwagi, Isao Kikumasa
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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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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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International Journal of Multidisciplinary Research and Analysis, 2022 Coding theory (English: coding theory) is a branch of mathematics (mathematics) and computer science (computer science) that deals with error-prone situations in the process of transmitting data over communication channels. noise channels), using sophisticated methods that make the majority of errors that occur can be corrected.
Tran Van Anh +4 more
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