The Hadamard matroid and an anomaly in its single element extensions

✍ Scribed by C.H. Cooke

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 394 KB
• Volume: 33
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(97)00046-1

✦ Synopsis

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 aliine resolvable, balanced incomplete block design AR(p). An anomaly in the representable single element extension of a Hadamard matroid is discussed.