Technical Report CS0509

Title: A Construction of Non-GRS MDS Codes
Authors: R.M. Roth and A. Lempel
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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