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Some 2-ranks

✍ Scribed by A.E. Brouwer; H.A. Wilbrink; W.H. Haemers

Publisher: Elsevier Science
Year: 1992
Tongue: English
Weight: 646 KB
Volume: 106-107
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(92)90533-l

No coin nor oath required. For personal study only.

✦ Synopsis

We compute the dimension of some of the binary codes associated with the unital ZJ(3, q), the generalized quadrangle U(4, q) and its dual O;(q) for odd q.

1. Codes spanned by lines in an aftine space

Proposition 1.1. Let q be a prime power, and let p be a prime not dividing q. Let B be a blocking set for hyperplanes in PG(d -1, q), where d 2 2. Then

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