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» On multiplication in finite fields
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DCC
1999
IEEE
13 years 8 months ago
A General Polynomial Sieve
An important component of the index calculus methods for finding discrete logarithms is the acquisition of smooth polynomial relations. Gordon and McCurley (1992) developed a sieve...
Shuhong Gao, Jason Howell
DM
1999
73views more  DM 1999»
13 years 8 months ago
Enumeration of mosaics
Mosaics are orbits of partitions arising from music theoretical investigations. Various theorems from the field of "enumeration under finite group actions" are applied f...
Harald Fripertinger
TIT
2002
81views more  TIT 2002»
13 years 8 months ago
New nonbinary sequences with ideal two-level autocorrelation
Abstract--We find new families of nonbinary sequences of period 1 with symbols from a finite field for any prime 3. The sequences have two-level ideal autocorrelation and are gener...
Tor Helleseth, Guang Gong
IJNSEC
2010
105views more  IJNSEC 2010»
13 years 3 months ago
A Note on the Constructions of Orthomorphic Permutations
Orthomorphic permutations have important applications in the design of block ciphers. A practical algorithm is derived to generate all orthomorphic permutations over Fm 2 , and it...
Jianqin Zhou
SIAMADS
2010
114views more  SIAMADS 2010»
13 years 3 months ago
The Abelian Hopf H mod K Theorem
We study the symmetries of periodic solutions from Hopf bifurcation in systems with finite abelian symmetries. Our main result, the Abelian Hopf H mod K Theorem, gives necessary a...
Natasha Filipski, Martin Golubitsky