Constacyclic and Linear Complementary Dual Codes Over Fq uFq.

Abstract

This article discusses linear complementary dual (LCD) codes over (2 1), q q R = u u = where q is a power of an odd prime p. Authors come up with a new Gray map from Rn to 2n q 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.
Subjects
CYCLIC codes; GRAY codes; CIPHERS; LINEAR codes

Description