Title :
On the parameters of Goppa codes
Author_Institution :
Math. Inst., Westfalische Wilhelms-Univ.
fDate :
9/1/1988 12:00:00 AM
Abstract :
A proof of V.D. Goppa´s (1983) lower bound to the dimension of subfield subcodes of his geometric codes is given. A result on the minimum distance of these subfield subcodes is also given that generalizes the well-known bound: minimum distance of Γ(L,G)⩾2 deg(G(X))+1 for classical Goppa codes Γ(L,G) over the field F 2 with a square-free Goppa polynomial G=G( X)
Keywords :
boundary-value problems; codes; encoding; polynomials; Goppa codes; geometric codes; lower bound; square-free Goppa polynomial; subfield subcodes; H infinity control; Parity check codes;
Journal_Title :
Information Theory, IEEE Transactions on
