DOUBLE ERROR CORRECTING CODES WITH IMPROVED CODE RATES
Martin Rak, Peter Farka · 2004
In [1] a new family of error detection codes called Weighted Sum Codes were proposed. In [2] it was noted that these codes are equivalent to lengthened Reed Solomon Codes, and shortened versions of lengthened Reed Solomon codes, respectively, constructed over GF (2(h/2)) . It was also shown that it is possible to use these codes for correction of one error in each codeword over GF (2(h/2)) . In [3] 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 dm = 5. The weight spectrum for [59,49,5] code constructed over GF (8) which is an example of the new codes was obtained by computer using its dual [4]. The code rates of the new codes are higher than the code rate of ordinary Reed Solomon codes constructed over the same finite fields