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A new class of nonbinary codes meeting the Griesmer bound

✍ Scribed by Noboru Hamada; Tor Helleseth; Øyvind Ytrehus


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
390 KB
Volume
47
Category
Article
ISSN
0166-218X

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📜 SIMILAR VOLUMES


Divisibility of Codes Meeting the Griesm
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We prove that if a linear code over GF( p), p a prime, meets the Griesmer bound, then if p e divides the minimum weight, p e divides all word weights. We present some illustrative applications of this result.

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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