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On abelian difference set codes

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Abstract

In this paper we determine the ranks of the incidence matrices that belong to the following types of difference sets: Twin prime power difference sets, biquadratic residues and biquadratic residues with 0. We also prove a conjecture of Assmus and Key on the code generated by the hyperovals of PG(2, q).

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  1. Mathematisches Institut der Universität Gieβen, Arndtstraβe 2, 6300, Gieβen, Germany

    Alexander Pott

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  1. Alexander Pott
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Communicated by D. Jungnickel

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Pott, A. On abelian difference set codes. Des Codes Crypt 2, 263–271 (1992). https://doi.org/10.1007/BF00141971

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