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On Ramanujan’s functionk(q)=r(q)r2(q2)

✍ Scribed by Shaun Cooper

Book ID
106511483
Publisher
Springer US
Year
2009
Tongue
English
Weight
436 KB
Volume
20
Category
Article
ISSN
1382-4090

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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