Excellent codes from modular curves
STOC '01 Proceedings of the thirty-third annual ACM symposium on Theory of computing
Rational Points on Curves over Finite Fields: Theory and Applications
Rational Points on Curves over Finite Fields: Theory and Applications
Algebraic-Geometric Codes
Improved Asymptotic Bounds for Codes Using Distinguished Divisors of Global Function Fields
SIAM Journal on Discrete Mathematics
Algebraic Function Fields and Codes
Algebraic Function Fields and Codes
IEEE Transactions on Information Theory
Improvements on parameters of one-point AG codes from Hermitian curves
IEEE Transactions on Information Theory
Nonlinear codes from algebraic curves improving the Tsfasman-Vladut-Zink bound
IEEE Transactions on Information Theory
Improvement on parameters of Goppa geometry codes from maximal curves using the Vla˘dut-Xing method
IEEE Transactions on Information Theory
Excellent nonlinear codes from algebraic function fields
IEEE Transactions on Information Theory
Further improvements on asymptotic bounds for codes using distinguished divisors
Finite Fields and Their Applications
| Hi-index | 754.84 |
Using the Vladut-Xing method, we refine a construction of Xu to improve the parameters of algebraic-geometry codes based on Hermitian curves. The parameters of these Hermitian codes are arbitrarily close to the Singleton bound, provided that the length of the code is sufficiently large. We also exhibit a class of Hermitian codes over any finite field Fq2(q 2) with good parameters.