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Some remarks on orders of projective planes, planar difference sets and multipliers

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Abstract

In this paper we investigate how finite group theory, number theory, together with the geometry of substructures can be used in the study of finite projective planes. Some remarks concerning the function v(x)= x 2 + x + 1are presented, for example, how the geometry of a subplane affects the factorization of v(x). The rest of this paper studies abelian planar difference sets by multipliers.

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Communicated by D. Jungnickel

Partially supported by NSA grant MDA904-90-H-1013.

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Ho, C.Y. Some remarks on orders of projective planes, planar difference sets and multipliers. Des Codes Crypt 1, 69–75 (1991). https://doi.org/10.1007/BF00123960

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  • DOI: https://doi.org/10.1007/BF00123960

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