Difference sets in dihedral groups

Please use this identifier to cite or link to this item: https://doi.org/10.1007/BF00124608

Title:	Difference sets in dihedral groups
Authors:	Leung, K.H. Ma, S.L. Wong, Y.L.
Issue Date:	Dec-1991
Citation:	Leung, K.H.,Ma, S.L.,Wong, Y.L. (1991-12). Difference sets in dihedral groups. Designs, Codes and Cryptography 1 (4) : 333-338. ScholarBank@NUS Repository. https://doi.org/10.1007/BF00124608
Abstract:	We study the existence of nontrivial (2 m, k, λ)-difference sets in dihedral groups. Some nonexistence results are proved. In particular, we show that n = k - λ is odd and φ{symbol}(n)/n < 1/2. Finally, a computer search shows that, except 5 undecided cases, no nontrivial difference set exists in dihedral groups for n ≤ 106. © 1992 Kluwer Academic Publishers.
Source Title:	Designs, Codes and Cryptography
URI:	http://scholarbank.nus.edu.sg/handle/10635/103133
ISSN:	09251022
DOI:	10.1007/BF00124608
Appears in Collections:	Staff Publications

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