Primitive symmetric designs with prime power number of points (CROSBI ID 153593)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Braić, Snježana ; Golemac, Anka ; Mandić, Joško ; Vučičić, Tanja
engleski
Primitive symmetric designs with prime power number of points
In this paper we either prove the non-existence or give explicit construction of primitive symmetric (v, k, lambda) designs with v=p(m)<2500, p prime and m>1. The method of design construction is based on an automorphism group action ; non-existence results additionally include the theory of difference sets, multiplier theorems in particular. The research involves programming and wide-range computations. We make use of software package GAP and the library of primitive groups which it contains.
Symmetric design ; primitive automorphism group ; difference set
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Podaci o izdanju
18 (2)
2010.
141-154
objavljeno
1063-8539
1520-6610
10.1002/jcd.20240