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DCC
2006
IEEE
14 years 7 months ago
Efficient Computation of Roots in Finite Fields
We present an algorithm to compute r-th roots in Fqm with complexity O((log m + r log q)m2 log2 q) for certain choices of m and q. This compares well to previously known algorithms...
Paulo S. L. M. Barreto, José Felipe Voloch
DCC
2006
IEEE
14 years 7 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
14 years 7 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...
DCC
2006
IEEE
14 years 7 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
2006
IEEE
14 years 7 months ago
Asymptotic Nonlinearity of Boolean Functions
Boolean functions on the space Fm 2 are not only important in the theory of error-correcting codes, but also in cryptography. In these two cases, the nonlinearity of these functio...
François Rodier