The weights of the orthogonals of the extended quadratic binary Goppa codes. (English) Zbl 0703.94011

Lachaud, Gilles; Wolfmann, Jacques

IEEE Trans. Inf. Theory 36, No. 3, 686-692 (1990).

MSC:

94B05	Linear codes, general
11T71	Algebraic coding theory; cryptography (number-theoretic aspects)
11L05	Gauss and Kloosterman sums; generalizations
94B27	Geometric methods (including applications of algebraic geometry) applied to coding theory

Keywords:

elliptic curves; Kloosterman sums; finite field; weights; orthogonals; binary linear codes; Melas code; irreducible cyclic binary code; extended binary Goppa codes; polynomials