Title :
MDR codes over Zk
Author :
Dougherty, Steven T. ; Shiromoto, Keisuke
Author_Institution :
Dept. of Math., Scranton Univ., PA, USA
fDate :
1/1/2000 12:00:00 AM
Abstract :
In this correspondence, we study maximum distance with respect to rank (MDR) codes over the ring Zk. We generalize the construction of Bose-Chaudhuri-Hocquenghem (BCH) and Reed-Solomon codes and apply the generalized Chinese remainder theorem to construct codes
Keywords :
BCH codes; Reed-Solomon codes; BCH codes; Bose-Chaudhuri-Hocquenghem codes; MDR codes; Reed-Solomon codes; code construction; generalized Chinese remainder theorem; maximum distance with respect to rank codes; ring Zk; Galois fields; Hamming distance; Hamming weight; Linear code; Mathematics; Upper bound; Vectors;
Journal_Title :
Information Theory, IEEE Transactions on
