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On the prime graph of D n ( q ) where q ∊ {2, 5}

✍ Scribed by Akhlaghi, Z.; Khatami, M.; Khosravi, B.

Book ID
127305870
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
288 KB
Volume
36
Category
Article
ISSN
1607-3606

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On the construction of [q4+q2−q, 5,q4−q3
On the construction of [q4+q2−q, 5,q4−q3+q2− 2q;q]-codes meeting the Griesmer bound
✍ Noboru Hamada; Tor Helleseth; Øyvind Ytrehus 📂 Article 📅 1992 🏛 Springer 🌐 English ⚖ 237 KB

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