Title :
Cyclotomic Goppa codes
Author :
Quebbemann, Heinz-georg
Author_Institution :
Math. Inst., Munster Univ., West Germany
fDate :
9/1/1988 12:00:00 AM
Abstract :
The general Goppa code construction is applied to certain so-called cyclotomic fields of algebraic functions. The resulting codes are metabelian group codes with binary subfield subcodes of minimum distance d≳(1-R)N/log2 log 2N for a given rate R and length N approaching ∞
Keywords :
codes; encoding; Goppa code construction; algebraic functions; binary subfield subcodes; cyclotomic fields; metabelian group codes; Geometry; H infinity control; Polynomials; Reed-Solomon codes; Tellurium; Writing;
Journal_Title :
Information Theory, IEEE Transactions on
