A characterisation result on a particular class of non-weighted minihypers
نویسندگان
چکیده
We present a characterisation of { 1(q+1)+ 0, 1;n, q}-minihypers, q square, q = ph, p > 3 prime, h ≥ 2, q ≥ 1217, for 0+ 1 < q 7/12 2 − q1/4 2 . This improves a characterisation result of S. Ferret and L. Storme [6], involving more Baer subgeometries contained in the minihyper.
منابع مشابه
New classification results for a certain class of weighted minihypers
Minihypers were introduced for their relation with linear codes meeting the Griesmer bound. Results on minihypers have therefore important applications in coding theory. On the other hand, minihypers are nice geometrical structures since they are a generalization of blocking sets, which have been studied a lot. Therefore also minihypers deserve to be studied from a purely geometrical point of v...
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Minihypers are substructures of projective spaces introduced to study linear codes meeting the Griesmer bound. Recently, many results in finite geometry were obtained by applying characterization results on minihypers [8, 17, 18]. In this paper, using characterization results on certain minihypers, we present new results on tight sets in classical finite polar spaces and weighted m-covers, and ...
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متن کاملCharacterization results on arbitrary non-weighted minihypers and on linear codes meeting the Griesmer bound
We present characterization results on non-weighted minihypers. For minihypers in PG(k − 1, q), q not a square, we improve greatly the results of Hamada, Helleseth, and Maekawa, and of Ferret and Storme. The largest improvements are obtained for q prime.
متن کاملA note on a result by Hamada on minihypers
Hamada [Bull. Osaka Women’s Univ. 24:1–47, 1985; Discrete Math. 116:229-268, 1993] characterized the non-weighted minihypers having parameters ( ∑h i=1 vλi+1, ∑h i=1 vλi ; t, q) with t > λ1 > λ2 > · · · > λh ≥ 0. This result has been generalized in [Des. Codes Cryptogr. 45:123-138,2007] where it was proved that a weighted ( ∑h i=1 vλi+1, ∑h i=1 vλi ; t, q)-minihyper F, with k − 1 > λ1 > λ2 > · ...
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ورودعنوان ژورنال:
- Des. Codes Cryptography
دوره 63 شماره
صفحات -
تاریخ انتشار 2012