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DCC
2006
IEEE
16 years 6 months ago
Generating More MNT Elliptic Curves
In their seminal paper, Miyaji, Nakabayashi and Takano [12] describe a simple method for the creation of elliptic curves of prime order with embedding degree 3, 4, or 6. Such curve...
Michael Scott, Paulo S. L. M. Barreto
DCC
2006
IEEE
16 years 6 months ago
A Flaw in the Use of Minimal Defining Sets for Secret Sharing Schemes
It is shown that in some cases it is possible to reconstruct a block design D uniquely from incomplete knowledge of a minimal defining set for D. This surprising result has implic...
Mike J. Grannell, Terry S. Griggs, Anne Penfold St...
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DCC
2006
IEEE
16 years 6 months ago
Applications of representation theory to wireless communications
In this paper we demonstrate a new and original way to apply the representation theory of finite groups to the development of space-time codes for use in multiple antenna wireless ...
Ali Miri, Monica Nevins, Terasan Niyomsataya
DCC
2005
IEEE
16 years 6 months ago
The Combinatorics of Dom de Caen
We give an overview of some of the mathematical results of Dominique de Caen. These include a short proof of K?onig's theorem, results on Tur?an numbers, biclique partitions,...
Edwin R. van Dam
DCC
2005
IEEE
16 years 6 months ago
A Note on the Tight Spherical 7-Design in R23 and 5-Design in R7*
In this note we prove the uniqueness of the tight spherical 7-design in R23 consisting of 4600 vectors and with automorphism group 2 ? Co2 as well as the uniqueness of the tight s...
Hans Cuypers