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Quasi-permutation Representations of the GroupsSU(3,q2) andPSU(3,q2)

✍ Scribed by M. R. Darafsheh; M. Ghorbany


Publisher
Springer
Year
2003
Weight
152 KB
Volume
26
Category
Article
ISSN
0129-2021

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A square matrix over the complex field with non-negative integral trace is called a quasi-permutation matrix. For a finite group G the minimal degree of a faithful Ε½ . permutation representation of G is denoted by p G . The minimal degree of a faithful representation of G by quasi-permutation matric

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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

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Hamada, N., T. Helleseth and 8. Ytrehus, Characterization of {2(q + 1) + 2, 2; t, q]-minihypers in PG(t, q) (t>3, q6{3,4}), Discrete Mathematics 115 (1993) 175-185. A set F offpoints in a finite projective geometry PG(t, q) is an (L m; t, q}-minihyper if m (>O) is the largest integer such that all

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