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The intractability of computing the minimum distance of a code

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1 Author(s)
Vardy, A. ; Coordinated Sci. Lab., Illinois Univ., Urbana, IL, USA

It is shown that the problem of computing the minimum distance of a binary linear code is NP-hard, and the corresponding decision problem is NP-complete. This result constitutes a proof of the conjecture of Berlekamp, McEliece, and van Tilborg (1978). Extensions and applications of this result to other problems in coding theory are discussed

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Information Theory, IEEE Transactions on  (Volume:43 ,  Issue: 6 )