Constacyclic and Linear Complementary Dual Codes Over Fq + uFq

Keywords: Linear codes, Cyclic codes, Gray map, Constacyclic codes, Euclidean LCD codes, Hermitian LCD codes, Reversible codes

Abstract

This article discusses linear complementary dual (LCD) codes over ℜ = Fq+uFq(u2=1) where q is a power of an odd prime p. Authors come up with a new Gray map from ℜn to F2nq and define a new class of codes obtained as the gray image of constacyclic codes over .ℜ Further, we extend the study over Euclidean and Hermitian LCD codes and establish a relation between reversible cyclic codes and Euclidean LCD cyclic codes over ℜ. Finally, an application of LCD codes in multisecret sharing scheme is given.

Published
2020-10-12
How to Cite
PrakashO., YadavS., & VermaR. (2020). Constacyclic and Linear Complementary Dual Codes Over Fq + uFq. Defence Science Journal, 70(6), 626-632. https://doi.org/10.14429/dsj.70.15691
Section
Electronics & Communication Systems