Computers & Mathematics with Applications
A nonstandard vector space is formulated, whose bases afford a representation of what is called a Hadamard matroid, Mp. For prime p, existence of Mp is equivalent to the existence of both a classical Hadamard matrix H(p,p) and a certain affine resolvable, balanced incomplete block design AR(p). An anomaly in the representable single element extension of a Hadamard matroid is discussed.
Original Publication Citation
Cooke, C. H. (1997). The Hadamard matroid and an anomaly in its single element extensions. Computers & Mathematics with Applications, 33(7), 115-120. doi:10.1016/s0898-1221(97)00046-1
Cooke, C. H., "The Hadamard Matroid and an Anomaly in Its Single Element Extensions" (1997). Mathematics & Statistics Faculty Publications. 135.