A new algorithm for finding minimum-weight in large linear codes

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作者
Canteaut, A
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中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
An algorithm for finding small-weight words in large linear codes is developed and a precise analysis of its complexity is given. It is in particular able to decode random [512,256,57]-linear binary codes in 9 hours on a DEC alpha computer. We improve with it the previously best known attacks on some public-key cryptosystems and identification schemes based on error-correcting codes: for example we reduce the work factor involved in breaking McELiece's cryptosystem, since our algorithm requires 2(64) elementary operations that is 128 times less than Lee-Brickell's attack.
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页码:205 / 212
页数:8
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