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Title: On linear complementary pair of nD cyclic codes
Authors: Özkaya, Buket
Güneri, Cem
Sayıcı, Selcen
Keywords: LCP Of Codes
nD Cyclic Codes
Issue Date: 2018
Source: Güneri, C., Özkaya, B., & Sayıcı , S. On linear complementary pair of nD cyclic codes. IEEE Communications Letters, 1-1. doi:10.1109/LCOMM.2018.2872046
Series/Report no.: IEEE Communications Letters
Abstract: The security parameter for a linear complementary pair (C,D) of codes is defined to be the minimum of the minimum distances d(C) and d(D⊥). Recently, Carlet et al. showed that if C and D are both cyclic or both two-dimensional (2D) cyclic linear complementary pair of codes, then C and D⊥ are equivalent codes. Hence, the security parameter for cyclic and 2D cyclic linear complementary pair of codes is simply d(C). We extend this result to nD cyclic linear complementary pair of codes. The proof of Carlet et al. for the 2D cyclic case is based on the trace representation of the codes, which is technical and nontrivial to generalize. Our proof for the generalization is based on the zero sets of the ideals corresponding to nD cyclic codes.
ISSN: 1089-7798
DOI: 10.1109/LCOMM.2018.2872046
Rights: © 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: [].
Fulltext Permission: open
Fulltext Availability: With Fulltext
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