Results 251 to 258 of about 35,611 (258)
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IEEE Transactions on Information Theory, 2011
New quantum maximum-distance-separable (MDS) codes with parameters [[q2 + 1, q2 -2d + 3, d]]q, where q=2t, t ≥ 1 and 3 ≤ d ≤ q+1 is an odd integer, are constructed in this paper.
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New quantum maximum-distance-separable (MDS) codes with parameters [[q2 + 1, q2 -2d + 3, d]]q, where q=2t, t ≥ 1 and 3 ≤ d ≤ q+1 is an odd integer, are constructed in this paper.
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MDS, Near-MDS or 2-MDS Self-Dual Codes via Twisted Generalized Reed-Solomon Codes
IEEE Transactions on Information Theory, 2022Junzhen Sui +3 more
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2000
We investigate the question when a cyclic code is maximum distance separable (MDS). For codes of (co-)dimension 3, this question is related to permutation properties of the polynomial (x b -1)/(x-1) for a certain b. Using results on these polynomials we prove that over fields of odd characteristic the only MDS cyclic codes of dimension 3 are the Reed ...
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We investigate the question when a cyclic code is maximum distance separable (MDS). For codes of (co-)dimension 3, this question is related to permutation properties of the polynomial (x b -1)/(x-1) for a certain b. Using results on these polynomials we prove that over fields of odd characteristic the only MDS cyclic codes of dimension 3 are the Reed ...
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When Does the Extended Code of an MDS Code Remain MDS?
IEEE Transactions on Information TheoryYansheng Wu +2 more
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