Abstract | ||
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In this paper, we show that a small minimal blocking set with exponent e in PG(n, p (t) ), p prime, spanning a (t/e - 1)-dimensional space, is an -linear set, provided that p > 5(t/e)-11. As a corollary, we get that all small minimal blocking sets in PG(n, p (t) ), p prime, p > 5t - 11, spanning a (t - 1)-dimensional space, are -linear, hence confirming the linearity conjecture for blocking sets in this particular case. |
Year | DOI | Venue |
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2013 | 10.1007/s10623-012-9751-x | DESIGNS CODES AND CRYPTOGRAPHY |
Keywords | Field | DocType |
Blocking set,Linearity conjecture,Linear set | Prime (order theory),Blocking set,Discrete mathematics,Finite field,Combinatorics,Exponent,Linearity,Corollary,Conjecture,Mathematics | Journal |
Volume | Issue | ISSN |
68.0 | SP1-3 | 0925-1022 |
Citations | PageRank | References |
0 | 0.34 | 11 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Péter Sziklai | 1 | 12 | 5.24 |
van de voorde | 2 | 35 | 7.85 |