JISE


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Journal of Information Science and Engineering, Vol. 41 No. 2, pp. 511-522


Skew LCD-LDPC Codes over a Mixed Alphabet-

NABIL BENNENNI1,+, NASREDDINE BENBELKACEM2 AND NUH AYDIN3
1,2Faculty of Mathematics, Algebra Department, ATN Laboratory
University of Science and Technology Houari Boumediene
Bab Ezzouar, 1611 Algeries, Algeria
3Department of Mathematics and Statistics
Kenyon College
Gambier, OH 43022, USA
E-mail: nabil.bennenni@gmail.com; nasreddine.benbelkacem@usthb.edu.dz;
aydinn@kenyon.edu

In this paper we define a family of skew LDPC codes over Fq(Fq + vFq) generated by a mixed parity check matrix. A condition for the existence of linear complementary dual (LCD) codes (which play an important role in practical applications such as armoring implementations against side-channel attacks and fault injection attacks) are explored specifically for skew LDPC codes. Also, regular and irregular skew LDPC codes are constructed using a Gray map and a mixed automorphism.

Keywords: LCD skew cyclic codes, skew LDPC codes

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