On Goppa Codes and Weierstrass Gaps at Several Points
Designs, Codes and Cryptography
Toward the Determination of the Minimum Distance of Two-Point Codes on a Hermitian Curve
Designs, Codes and Cryptography
Weierstrass Semigroups and Codes from a Quotient of the Hermitian Curve
Designs, Codes and Cryptography
Journal of Pure And Applied Algebra
The Complete Determination of the Minimum Distance of Two-Point Codes on a Hermitian Curve
Designs, Codes and Cryptography
Two-Point Codes on Norm-Trace Curves
ICMCTA '08 Proceedings of the 2nd international Castle meeting on Coding Theory and Applications
The second generalized Hamming weight for two-point codes on a Hermitian curve
Designs, Codes and Cryptography
An Extension of the Order Bound for AG Codes
AAECC-18 '09 Proceedings of the 18th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
On Weierstrass Semigroups of Some Triples on Norm-Trace Curves
IWCC '09 Proceedings of the 2nd International Workshop on Coding and Cryptology
Minimum distance decoding of general algebraic geometry codes via lists
IEEE Transactions on Information Theory
On the floor and the ceiling of a divisor
Finite Fields and Their Applications
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We prove that elements of the Weierstrassgap set of a pair of points may be used to define a geometricGoppa code which has minimum distance greater than the usuallower bound. We determine the Weierstrass gap set of a pair ofany two Weierstrass points on a Hermitian curve and use thisto increase the lower bound on the minimum distance of particularcodes defined using a linear combination of the two points.