New classes of groups containing menon difference sets

Designs, Codes, and Cryptography

Volumn 8, Issue 3, 1996, Pages 319-325

  Meisner, D B ^a  

^a Oundle School   (United Kingdom)

Author keywords

Designs; Difference sets; Hadamard matrices

Indexed keywords

EID: 0010957052     PISSN: 09251022     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1027355823943     Document Type: Article

References (10)

1. J. A. Davis, A generalization of Kraemer's Result on difference sets, J. Comb. Th. (A), Vol. 59 (1992) pp. 187-192.
2. J. Jedwab, Generalized perfect arrays and Menon difference sets, Designs, Codes and Cryptography, Vol. 2 (1992) pp. 19-68.
3. I. Kaplansky, Infinite Abelian Groups, University of Michigan Press (1957).
4. R. E. Kibler, A summary of non-cyclic difference sets, k < 20, J. Comb. Th. (A), Vol. 25 (1978) pp. 62-67.
5. R. G. Kraemer, Proof of a conjecture on Hadamard 2-groups, J. Comb. Th. (A), Vol. 63 (1993) pp. 1-10.
6. R. A. Liebler and K. W. Smith, On difference sets in certain 2-groups: Proc. Marshall Hall Conference, Vermont 1990, Coding Theory, Design Theory, Group Theory, Wiley, New York (1991) pp. 195-212.
7. D. B. Meisner, Families of Menon difference sets: Proceedings of Combinatorics '90, (A. Barlotti et al., eds.), Ann. of Discrete Math., North Holland, 52 (1991) pp. 365-380.
8. D. B. Meisner, Menon designs and related difference sets, Ph.D. thesis, University of London (1991).
9. R. J. Turyn, Character sums and difference sets, Pacific J. Math., Vol. 15 (1965) pp. 319-346.
10. M-y. Xia, Some infinite classes of special Williamson matrices and difference sets, J. Comb. Th. (A), Vol. 61 (1992) pp. 230-242.