FINITE FIELDS AND THEIR APPLICATIONS, vol.41, pp.193-222, 2016 (Peer-Reviewed Journal)
Article / Article
FINITE FIELDS AND THEIR APPLICATIONS
Science Citation Index Expanded, Scopus
Quasi-cyclic code, Multidimensional quasi-cyclic code, Multidimensional cyclic code, Trace representation, Multidimensional convolutional code, CONVOLUTIONAL-CODES, ALGEBRAIC STRUCTURE, FINITE-FIELDS, RATE 1/P, CONSTRUCTION
We provide a new concatenated structure for multidimensional quasi-cyclic (QnDC) codes over F-q and we give a trace representation for their codewords, which extends the known representations of QC and nD cyclic codes. Based on these results, we obtain a minimum distance bound for QnDC dyclic codes. Since QnDC codes are naturally related to nD convolutional codes, this bound also applies to a special class of 1-generator 2D convolutional codes. (C) 2016 Elsevier Inc. All rights reserved.