Construction of orthogonal starters and corollaries |
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Authors: | A V Nazarok |
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Institution: | (1) Institute of Mathematics, Academy of Sciences of the Ukraine, Kiev |
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Abstract: | A method is proposed for constructing a system of (v–1)/2 pairwise disjoint orthogonal starters of order v for v 6k+1 7 (mod 12) p n2+n+1/t such that the number 3 is one of the primitive roots of the Galois field of prime order p (k is prime, k 2, and n and t are positive integers). The starters occurring in this system satisfy certain additional conditions. The construction of a series of combinatorial structures, including some not previously known, is a consequence of this result.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 5, pp. 654–662, May, 1992. |
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