The generalized Goppa codes and related discrete designs from Hermitian surfaces in PG(3,s2)*
on Coding theory and applications
The parameters of projective Reed-Mu¨ller codes
Discrete Mathematics
Basic algebraic geometry 1 (2nd, revised and expanded ed.)
Basic algebraic geometry 1 (2nd, revised and expanded ed.)
IEEE Transactions on Information Theory
The weight hierarchy of higher dimensional Hermitian codes
IEEE Transactions on Information Theory
Computing the 2-distribution of points on Hermitian surfaces (abstract only)
ACM Communications in Computer Algebra
Designs, Codes and Cryptography
Structure of functional codes defined on non-degenerate Hermitian varieties
Journal of Combinatorial Theory Series A
Functional codes arising from quadric intersections with Hermitian varieties
Finite Fields and Their Applications
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We study the functional codes C"h(X) defined by Lachaud in [G. Lachaud, Number of points of plane sections and linear codes defined on algebraic varieties, in: Arithmetic, Geometry, and Coding Theory, Luminy, France, 1993, de Gruyter, Berlin, 1996, pp. 77-104] where X@?P^N is an algebraic projective variety of degree d and dimension m. When X is a Hermitian surface in PG(3,q), Sorensen in [A.B. Sorensen, Rational points on hypersurfaces, Reed-Muller codes and algebraic-geometric codes, PhD thesis, Aarhus, Denmark, 1991], has conjectured for h=