FINITE FIELDS AND THEIR APPLICATIONS, vol.18, no.1, pp.123-132, 2012 (SCI-Expanded)
Article / Article
FINITE FIELDS AND THEIR APPLICATIONS
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Quasi-cyclic code, 2-D cyclic code, Trace representation, ALGEBRAIC STRUCTURE, FINITE-FIELDS, RATE 1/P
Middle East Technical University Affiliated:
We consider a q-ary quasi-cyclic code C of length ml and index l, where both in and l are relatively prime to q. If the constituents of C are cyclic codes, we show that C can also be viewed as a 2-D cyclic code of size m x l over F(q). In case in and l are also coprime to each other, we easily observe that the code C must be equivalent to a cyclic code, which was proved earlier by Lim. (C) 2011 Elsevier Inc. All rights reserved.