Binary matroid

In matroid theory, a binary matroid is a matroid that can be represented over the finite field GF(2).^[1] That is, up to isomorphism, they are the matroids whose elements are the columns of a (0,1)-matrix and whose sets of elements are independent if and only if the corresponding columns are linearly independent in GF(2).

^ Welsh, D. J. A. (2010) [1976], "10. Binary Matroids", Matroid Theory, Courier Dover Publications, pp. 161–182, ISBN 9780486474397.

[w76-1] Welsh, D. J. A. (2010) [1976], "10. Binary Matroids", Matroid Theory, Courier Dover Publications, pp. 161–182, ISBN 9780486474397.

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