RT info:eu-repo/semantics/article
T1 Relative generalized Hamming weights of one-point algebraic geometric codes
A1 Geil, Olav
A1 Martin, Stefano
A1 Matsumoto, Ryutaroh
A1 Ruano Benito, Diego
A1 Luo, Yuan
AB Security of linear ramp secret sharing schemes can be characterized by the relative generalized Hamming weights of the involved codes. In this paper, we elaborate on the implication of these parameters and devise a method to estimate their value for general one-point algebraic geometric codes. As it is demonstrated, for Hermitian codes, our bound is often tight. Furthermore, for these codes, the relative generalized Hamming weights are often much larger than the corresponding generalized Hamming weights.
YR 2014
FD 2014
LK http://uvadoc.uva.es/handle/10324/31737
UL http://uvadoc.uva.es/handle/10324/31737
LA eng
NO IEEE Transactions on Information Theory. Volume 60, Issue 10, pages 5938-5949 (2014)
NO Producción Científica
DS UVaDOC
RD 19-nov-2024