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The Asymptotic Number Of Binary Codes And Binary Matroids

Wild Marcel. SIAM Journal of Discrete Mathematics 2004

[Paper]    

The asyptotic number of nonequivalent binary n-codes is determined. This is also the asymptotic number of nonisomorphic binary n-matroids. The connection to a result of Lefmann, Roedl, Phelps is explored. The latter states that almost all binary n-codes have a trivial automorphism group.

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