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A076766
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Number of inequivalent binary linear codes of length n. Also the number of nonisomorphic binary matroids on an n-set.
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8
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1, 2, 4, 8, 16, 32, 68, 148, 342, 848, 2297, 6928, 24034, 98854, 503137, 3318732, 29708814, 374039266, 6739630253, 173801649708, 6356255181216, 326203517516704, 23294352980140884, 2301176047764925736, 313285408199180770635, 58638266023262502962716
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OFFSET
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0,2
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REFERENCES
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M. Wild, Enumeration of binary and ternary matroids and other applications of the Brylawski-Lucas Theorem, Preprint Nr. 1693, Tech. Hochschule Darmstadt, 1994.
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LINKS
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EXAMPLE
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a(2)=4 because there are four inequivalent linear binary 2-codes: {(0,0)}, {(0,0),(1,0)}, {(0,0),(1,1)}, {(0,0),(1,0),(0,1),(1,1)}. Observe that the codes {(0,0),(1,0)} and {(0,0),(0,1)} are equivalent because one arises from the other by a permutation of coordinates.
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CROSSREFS
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KEYWORD
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nice,nonn
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AUTHOR
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Marcel Wild (mwild(AT)sun.ac.za), Nov 14 2002
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EXTENSIONS
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STATUS
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approved
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