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DCC
2008
IEEE
14 years 5 months ago
New negative Latin square type partial difference sets in nonelementary abelian 2-groups and 3-groups
A partial difference set having parameters (n2, r(n - 1), n + r2 - 3r, r2 - r) is called a Latin square type partial difference set, while a partial difference set having paramete...
John B. Polhill
DCC
2008
IEEE
14 years 5 months ago
Sequences in abelian groups G of odd order without zero-sum subsequences of length exp ( G )
We present a new construction for sequences in the finite abelian group Cr n without zero-sum subsequences of length n, for odd n. This construction improves the maximal known car...
Yves Edel
DCC
2001
IEEE
14 years 5 months ago
On Sylow Subgroups of Abelian Affine Difference Sets
Agnes V. Dizon-Garciano, Yutaka Hiramine
CRYPTO
2001
Springer
162views Cryptology» more  CRYPTO 2001»
13 years 10 months ago
New Public Key Cryptosystem Using Finite Non Abelian Groups
Most public key cryptosystems have been constructed based on abelian groups up to now. We propose a new public key cryptosystem built on finite non abelian groups in this paper. I...
Seong-Hun Paeng, Kil-Chan Ha, Jae Heon Kim, Seongt...
CIE
2010
Springer
13 years 6 months ago
Computable Ordered Abelian Groups and Fields
Abstract. We present transformations of linearly ordered sets into ordered abelian groups and ordered fields. We study effective properties of the transformations. In particular, w...
Alexander G. Melnikov