Linear Codes and Their Coordinate Ordering
Designs, Codes and Cryptography
AAECC-14 Proceedings of the 14th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Goppa-like bounds for the generalized Feng--Rao distances
Discrete Applied Mathematics - Special issue: International workshop on coding and cryptography (WCC 2001)
The second generalized Hamming weight for two-point codes on a Hermitian curve
Designs, Codes and Cryptography
The second and third generalized Hamming weights of algebraic geometry codes
AAECC'03 Proceedings of the 15th international conference on Applied algebra, algebraic algorithms and error-correcting codes
On generalized hamming weights and the covering radius of linear codes
AAECC'07 Proceedings of the 17th international conference on Applied algebra, algebraic algorithms and error-correcting codes
On the feng-rao bound for generalized hamming weights
AAECC'06 Proceedings of the 16th international conference on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Weight enumeration of codes from finite spaces
Designs, Codes and Cryptography
Evaluation codes from order domain theory
Finite Fields and Their Applications
| Hi-index | 754.84 |
The order bound on generalized Hamming weights is introduced in a general setting of codes on varieties which comprises both the one point geometric Goppa codes as well as the q-ary Reed-Muller codes. For the latter codes it is shown that this bound is sharp and that they satisfy the double chain condition