Results 241 to 250 of about 10,192,265 (264)
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Cyclic Codes over Galois Rings
2016Let R be a Galois ring of characteristic $$p^a$$, where p is a prime and a is a natural number. In this paper cyclic codes of arbitrary length n over R have been studied. The generators for such codes in terms of minimal degree polynomials of certain subsets of codes have been obtained.
Jasbir Kaur, Sucheta Dutt, Ranjeet Sehmi
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On MDR codes over a finite ring
International Journal of Information and Coding Theory, 2015Our aim is to study codes over Zpr satisfying two distinct Singleton type bounds. We describe the smallest free code containing an MDR code and give explicit expressions for the submodules quotients defined in Norton and Sǎlǎgean (2000b).
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Self-Dual Codes Over Chain Rings
Mathematics in Computer Science, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Simon Eisenbarth, Gabriele Nebe
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Computational and Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
F. Rebaine +2 more
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F. Rebaine +2 more
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International Journal of Quantum Information, 2014
This paper considers the construction of quantum error correcting codes from linear codes over finite commutative Frobenius rings. We extend the Calderbank–Shor–Steane (CSS) construction to these rings. Further, quantum codes are extended to matrix product codes.
Guenda, Kenza, Gulliver, T. Aaron
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This paper considers the construction of quantum error correcting codes from linear codes over finite commutative Frobenius rings. We extend the Calderbank–Shor–Steane (CSS) construction to these rings. Further, quantum codes are extended to matrix product codes.
Guenda, Kenza, Gulliver, T. Aaron
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Linear complementary dual codes over rings
Designs, Codes and Cryptography, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zihui Liu, Jinliang Wang
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In this paper, we construct the ring M 2 = F 2 + u 1F 2 + u 2F 2 U 1U 2F 2, where u 2 = 1, u 22 = 1,u 1 u 2 =. Firstly, we investigate the structure of the ring. Then we describe two Gray maps which are shown to be equivalent and it is obtained that C is the Gray image of a linear code over M 2 if and only if C is invariant under the permutation group ...
Dertli A., Cengellenmis Y.
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Dertli A., Cengellenmis Y.
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Structure of codes over the ring
2013In this paper, we study the structure of linear codes over the non chain ring . In order to study the codes, we first study the structure of this ring via a distance preserving Gray map which also induces a relation between codes over this ring and ternary codes. Further, the algebraic structure of cyclic and dual codes is also studied.
Siap, Irfan, Bayram, Aysegul
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Linear Network Coding Over Rings – Part I: Scalar Codes and Commutative Alphabets
IEEE Transactions on Information Theory, 2018Kenneth Zeger, Joseph Connelly
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Linear Network Coding Over Rings – Part II: Vector Codes and Non-Commutative Alphabets
IEEE Transactions on Information Theory, 2018Kenneth Zeger, Joseph Connelly
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