Title :
Nonbinary negacyclic code which exceeds Berlekamp´s (p--1)/2 bound
Author :
Kelsch, R.G. ; Green, D.H.
Author_Institution :
University of Manchester Institute of Science & Technology, Department of Electrical Engineering & Electronics, Manchester, UK
Abstract :
An unsolved problem in coding theory is the determination of p-nary codes in the Lee metric which will correct more than (p--1)/2 errors. This letter describes a ternary double-error-correcting code which exceeds this bound and which leads to a conjecture for doubling this bound in the general p-nary case, p being a prime.
Keywords :
codes; error correction; Berlekamp´s (p-1)/2 bound; error correction codes; nonbinary megacyclic code;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19710454
