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TIT
2011
144views more  TIT 2011»
12 years 11 months ago
Network Generalized Hamming Weight
— In this paper, we extend the notion of generalized Hamming weight for classical linear block code to linear network codes by introducing the network generalized Hamming weight ...
Chi Kin Ngai, Raymond W. Yeung, Zhen Zhang
SIAMDM
2010
105views more  SIAMDM 2010»
12 years 11 months ago
On the Relative Generalized Hamming Weights of Linear Codes and their Subcodes
We first present an equivalent definition of relative generalized Hamming weights of a linear code and its subcodes, and we develop a method using finite projective geometry. Makin...
Zihui Liu, Jie Wang, Xin-Wen Wu
ESAS
2005
Springer
13 years 10 months ago
An Advanced Method for Joint Scalar Multiplications on Memory Constraint Devices
Abstract. One of the most frequent operations in modern cryptosystems is a multi-scalar multiplication with two scalars. Common methods to compute it are the Shamir method and the ...
Erik Dahmen, Katsuyuki Okeya, Tsuyoshi Takagi
TIT
1998
85views more  TIT 1998»
13 years 4 months ago
Generalized Hamming Weights of q-ary Reed-Muller Codes
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 the q-ary Reed-M...
Petra Heijnen, Ruud Pellikaan
AAECC
2006
Springer
107views Algorithms» more  AAECC 2006»
13 years 6 months ago
On the Feng-Rao Bound for Generalized Hamming Weights
Olav Geil, Christian Thommesen