A new family of error control codes and weight spectrum of [60,49,5]/sub 8/ code obtained by computer

Abstract

In the paper by McAuley (1994), a new family error detection codes called Weighted Sum Codes was proposed. In another paper by Farkas (1995), it was noted that these codes are equivalent to lengthened Reed Solomon Codes and shortened versions of lengthened Reed Solomon codes respectively over GF(2/sup (h/2)/). It was also shown that it is possible to use these codes for an error detection of one error in the codeword over GF(2/sup (h/2)/). In the paper by Farkas and Baylis (2000), a class of modified Generalized Weighted Sum Codes for single error and conditionally double error correction were presented. In this paper we present a new family of double error-correcting codes with code distance d/sub m/ = 5. Weight spectrum for [60,49,5] code constructed over GF(8) which is an example of the new codes was obtained by computer. The coderate of the new codes are higher than the coderate of ordinary Reed Solomon codes over the same finite fields.