一类一步多数逻辑可译码的广义汉明重量谱

GENERALIZED HAMMING WEIGHTS OF A ONE-STEP MAJORITY-LOGIC DECODABLE CODE

线性码的广义汉明重量谱描述了码在第二类窃密信道中传输的密码学特征。该文针对一类循环码—在仿射置换群之下不变的一步多数逻辑可译码的广义汉明重量谱进行了研究,提出了该类码的重量谱的估计方法,并通过实例作了说明。

The Generalized Hamming Weights (GHW) of linear codes characterize the cryptography performance of the code on the wire-tap channel of type two. In this paper, the GHW of a kind of cyclic code, the one-step majority-logic decodable code, which is invariant under the group of afhne permutation , is studied. The GHW of the code is estimated, and some examples are given.