Title :
Composition of Reed-Solomon codes and geometric designs
Author :
Roth, Ron M. ; Lempel, Abraham
Author_Institution :
Dept. of Comput. Sci., Technion-Israel Inst. of Technol., Haifa, Israel
fDate :
7/1/1988 12:00:00 AM
Abstract :
It is shown that good linear (n,k,d) codes over a finite field GF(q) can be constructed by concatenating the generator matrices of Reed-Solomon codes. For the case of k=3, it is shown that many of the codes obtained using projective-geometry techniques can readily be obtained by the proposed algebraic approach
Keywords :
error correction codes; Reed-Solomon codes; algebraic approach; finite field GF(q); generator matrices; geometric designs; linear (n,k,d) codes; projective-geometry techniques; Computer science; Galois fields; Geometry; Polynomials; Reed-Solomon codes;
Journal_Title :
Information Theory, IEEE Transactions on
