Title :
MDS Convolutional Codes Over a Finite Ring
Author :
El Oued, Mohammed ; Sole, Patrick
Author_Institution :
FSM Math Dept., Univ. of Monastir, Monastir, Tunisia
Abstract :
In this paper, we present an analog of the Singleton bound for convolutional codes over finite rings. Codes meeting that bound are called MDS. A constructive method for the MDS codes, restricted to free codes, is presented via cyclic codes over finite rings. Examples of nonfree MDS codes are provided.
Keywords :
convolutional codes; cyclic codes; MDS convolutional codes; Singleton bound; cyclic codes; finite ring; Block codes; Convolutional codes; Educational institutions; Generators; Hamming distance; Polynomials; Vectors; Convolutional codes; MDS codes; cyclic codes;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2013.2277721
