一類一步多數(shù)邏輯可譯碼的廣義漢明重量譜
Generalized hamming weights of a one-step majority-logic decodable code
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摘要: 線性碼的廣義漢明重量譜描述了碼在第二類竊密信道中傳輸?shù)拿艽a學(xué)特征。該文針對一類循環(huán)碼在仿射置換群之下不變的一步多數(shù)邏輯可譯碼的廣義漢明重量譜進(jìn)行了研究,提出了該類碼的重量譜的估計方法,并通過實例作了說明。
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關(guān)鍵詞:
- 線性碼; 一步多數(shù)邏輯可譯碼; 廣義漢明重量
Abstract: 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. -
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