Results 11 to 20 of about 27,942 (261)
An equivalence between network coding and index coding [PDF]
2013 IEEE International Symposium on Information Theory, 2013 We show that the network coding and index coding problems are equivalent. This equivalence holds in the general setting which includes linear and non-linear codes. Specifically, we present an efficient reduction that maps a network coding instance to an index coding one while preserving feasibility.
Effros, Michelle +2 more
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On the Equivalence of Interleavers for Turbo Codes [PDF]
IEEE Wireless Communications Letters, 2015 Three of the most common interleavers for turbo codes (TCs) are dithered relative prime (DRP) interleavers, quadratic permutation polynomial (QPP) interleavers, and almost regular permutation (ARP) interleavers. In this paper, it is shown that DRP and QPP interleavers can be expressed in the ARP interleaver function form.
Garzon Bohorquez, Ronald +2 more
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On bounded linear codes and the commutative equivalence
Theoretical Computer Science, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Carpi A., D'Alessandro F.
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A generalization of cyclic code equivalence algorithm to constacyclic codes
Designs, Codes and Cryptography, 2022 Recently, a new algorithm to test equivalence of two cyclic codes has been introduced which is efficient and produced useful results. In this work, we generalize this algorithm to constacyclic codes. As an application of the algorithm we found many constacyclic codes with good parameters and properties. In particular, we found 23 new codes that improve
Dev Akre +3 more
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The equivalence of linear codes implies semi-linear equivalence
Designs, Codes and Cryptography, 2022 We prove that if two linear codes are equivalent then they are semi-linearly equivalent. We also prove that if two additive MDS codes over a field are equivalent then they are additively equivalent.
Ball, Simeon Michael, Dixon, James
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Characters and the equivalence of codes
Journal of Combinatorial Theory, Series A, 1996 Let \(K\) be a finite field. A linear code of dimension \(k\) and block length \(n\) is a \(k\)-dimensional \(K\)-linear subspace \(C\) of the \(n\)-dimensional vector space \(K^n\) over \(K\). Two linear codes \(C_1\) and \(C_2\) in \(K^n\) are equivalent if there exists a monomial transformation \(T: K^n\to K^n\) such that \(T(C_1)= C_2 ...
Harold N. Ward, Jay A. Wood
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The equivalence of GRS codes and EGRS codes
CoRR, 2022 Generalized Reed-Solomon and extended generalized Reed-Solomon (abbreviation to GRS and EGRS) codes are the most well-known family of MDS codes with wide applications in coding theory and practice. Let $\mathbb{F}_q$ be the $q$ elements finite field, where $q$ is the power of a prime.
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On linear equivalence and Phelps codes
Advances in Mathematics of Communications, 2010 It is shown that all non-full-rank FRH-codes, a class of perfect codes we define in this paper, are linearly equivalent to perfect codes obtainable by Phelps' construction. Moreover, it is shown by an example that the class of perfect FRH-codes also contains perfect codes that are not obtainable by Phelps construction.
Olof Heden, Martin Hessler
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ABOUT CODE EQUIVALENCE — A GEOMETRIC APPROACH
, 2022 The equivalence test is a main part in any classification problem. It helps to prove bounds for the main parameters of the considered combinatorial structures and to study their properties. In this paper, we present algorithms for equivalence of linear codes, based on their relation to multisets of points in a projective geometry.
Iliya Bouyukliev, Stefka Bouyuklieva
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La narrativa de código mixto de Cisneros y sus implicaciones para la traducción
Mutatis Mutandis, 2008 Las consecuencias pragmáticas de la alternancia de código en el campo de la traducción literaria han sido poco estudiadas, especialmente en el caso de las novelas chicanas escritas en inglés, pero que alternan al español por razones estilísticas ...
María José García Vizcaíno
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