Complementary Dual Algebraic Geometry Codes

Algebraic Geometry Codes

Algebraic-Geometry Codes

Algebraic geometry codes: general theory

World Scientific Review Volume-9in x 6in duursma-copy3 This chapter describes some of the basic properties of geometric Goppa codes, including relations to other families of codes, bounds for the parameters , and sufficient conditions for efficient error correction. Special attention is given to recent results on two-point codes from Hermitian curves and to applications for secret sharing.

Binary linear complementary dual codes

Linear complementary dual codes (or codes with complementary duals) are codes whose intersections with their dual codes are trivial. We study binary linear complementary dual [n, k] codes with the largest minimum weight among all binary linear complementary dual [n, k] codes. We characterize binary linear complementary dual codes with the largest minimum weight for small dimensions. A complete ...

Matrix-Product Complementary dual Codes

Linear complementary dual codes (LCD) are linear codes satisfying C ∩C = {0}. Under suitable conditions, matrix-product codes that are complementary dual codes are characterized. We construct LCD codes using quasi-orthogonal matrices. Some asymptotic results are derived.