Pure gaps and bounds for the generalized Hamming weights of Goppa codes

2011 ◽  
pp. 123-128
Author(s):  
Cícero Carvalho
Keyword(s):  
Goppa Codes ◽  
Generalized Hamming Weights ◽  
Hamming Weights

scholarly journals Ideals of Numerical Semigroups and Error-Correcting Codes

Symmetry ◽  
2019 ◽  
Vol 11 (11) ◽  
pp. 1406
Author(s):  
Bras-Amorós
Keyword(s):  
Secret Sharing ◽  
Error Correcting Codes ◽  
Numerical Semigroups ◽  
Secret Sharing Schemes ◽  
List Decoding ◽  
Generalized Hamming Weights ◽  
Resilient Functions ◽  
Weierstrass Semigroups ◽  
Hamming Weights ◽  
Dual Sequences

Several results relating additive ideals of numerical semigroups and algebraic-geometrycodes are presented. In particular, we deal with the set of non-redundant parity-checks, the codelength, the generalized Hamming weights, and the isometry-dual sequences of algebraic-geometrycodes from the perspective of the related Weierstrass semigroups. These results are related tocryptographic problems such as the wire-tap channel, t-resilient functions, list-decoding, networkcoding, and ramp secret sharing schemes.

Generalized Hamming weights of linear codes

1992 ◽  
Vol 38 (3) ◽  
pp. 1133-1140 ◽  
Author(s):  
T. Helleseth ◽  
T. Klove ◽  
O. Ytrehus
Keyword(s):  
Linear Codes ◽  
Generalized Hamming Weights ◽  
Hamming Weights
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