TR#: | CS0509 |
Class: | CS |
Title: | A Construction of Non-GRS MDS Codes |
Authors: | R.M. Roth and A. Lempel |
CS0509.pdf | |
Abstract: | We present a construction of long MDS codes which are not of the generalized Reed-Solomon (GRS) type. The construction employs subsets S, |S|=m, of a finite field F=GF(q) with the property that no t distinct elements of S add up to some fixed element of F . Large subsets of this kind are used to construct [n=m+2,k=t+1] non-GRS MDS codes over F. |
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