(81, 16, 3) Abelian difference sets do not exist

Author:

Arasu K.T

Publisher

Elsevier BV

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference7 articles.

1. Quotient Sets, Homomorphic Images and Multipliers;Arasu,1983

2. K. T. Arasu and D. K. Ray-Chaudhuri, Multiplier theorem for a difference list, to appear.

3. Design Theory;Beth,1985

4. Difference sets in a finite group;Bruck;Trans. Amer. Math. Soc.,1955

5. Cyclic incidence matrices;Hall;Canad. J. Math.,1951

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1. Non‐existence of (pm,k,1)$(p^m, k, 1)$ difference sets;Electronics Letters;2021-12-10

2. Preface to the special issue on ArasuFest;Journal of Algebraic Combinatorics;2021-10-13

3. Nonexistence of Some Abelian Difference Sets;Combinatorial Designs and Applications;2020-12-22

4. Sporadic groups and flag-transitive triplanes;Science in China Series A: Mathematics;2009-02

5. On Abelian Difference Sets;Algebra;1999

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