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The Known Maximal Partial Ovoids of Size q2−1 of Q(4,q)

✍ Scribed by Kris Coolsaet; Jan De Beule; Alessandro Siciliano

Book ID
112120484
Publisher
John Wiley and Sons
Year
2012
Tongue
English
Weight
531 KB
Volume
aop
Category
Article
ISSN
1063-8539

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It is unknown whether or not there exists an [87, 5, 57 ; 31-code. Such a code would meet the Griesmer bound. The purpose of this paper is to give a constructive proof of the existence of [q4 + q2 \_ q, 5, q'\* -q3 + q2 \_ 2q; q]-codes for any prime power q \_> 3. As a special case, it is shown that