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Difference sets with n = 5 p r

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Abstract

Let D be a (v, k, λ)-difference set in an abelian group G, and (v, 31) = 1. If n = 5p r with p a prime not dividing v and r a positive integer, then p is a multiplier of D. In the case 31|v, we get restrictions on the parameters of such difference sets D for which p may not be a multiplier.

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Authors and Affiliations

  1. School of Mathematical Sciences, Peking University, Beijing, 100871, China

    Tao Feng

  2. Department of Mathematics, School of Physical & Mathematical Sciences, Nanyang Technological University, 637371, Singapore, Singapore

    Tao Feng

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  1. Tao Feng
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Correspondence to Tao Feng.

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Communicated by J. Jedwab.

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Feng, T. Difference sets with n = 5 p r . Des. Codes Cryptogr. 51, 175–194 (2009). https://doi.org/10.1007/s10623-008-9254-y

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  • DOI: https://doi.org/10.1007/s10623-008-9254-y

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