The Hadamard Matroid and an Anomaly in Its Single Element Extensions

Authors

C. H. Cooke, Old Dominion University

Document Type

Article

Publication Date

1997

DOI

10.1016/s0898-1221(97)00046-1

Publication Title

Computers & Mathematics with Applications

Volume

33

Issue

7

Pages

115-120

Abstract

A nonstandard vector space is formulated, whose bases afford a representation of what is called a Hadamard matroid, M_p. For prime p, existence of M_p 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.

Comments

Elsevier open archive. Copyright © 1997 Published by Elsevier Ltd. All rights reserved.

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

Repository Citation

Cooke, C. H., "The Hadamard Matroid and an Anomaly in Its Single Element Extensions" (1997). Mathematics & Statistics Faculty Publications. 135.
https://digitalcommons.odu.edu/mathstat_fac_pubs/135