Results 1 to 10 of about 1,276 (42)

An efficient and secure RSA--like cryptosystem exploiting R\'edei rational functions over conics

open access: yes, 2016
We define an isomorphism between the group of points of a conic and the set of integers modulo a prime equipped with a non-standard product. This product can be efficiently evaluated through the use of R\'edei rational functions.
Bellini, Emanuele, Murru, Nadir
core  

A characterization of covering equivalence [PDF]

open access: yes, 2007
Let A={a_s(mod n_s)}_{s=1}^k and B={b_t(mod m_t)}_{t=1}^l be two systems of residue classes. If |{1\le s\le k: x=a_s (mod n_s)}| and |{1\le t\le l: x=b_t (mod m_t)}| are equal for all integers x, then A and B are said to be covering equivalent.
Pan, Hao, Sun, Zhi-Wei
core   +3 more sources

Methods of class field theory to separate logics over finite residue classes and circuit complexity [PDF]

open access: yes, 2017
This is a pre-copyedited, author-produced version of an article accepted for publication in Journal of logic and computation following peer review.Separations among the first-order logic Res(0,+,×) of finite residue classes, its extensions with ...
Arratia Quesada, Argimiro Alejandro   +1 more
core   +2 more sources

The linear complexity of whiteman's generalized cyclotomic sequences of period p {m+1}q n+1 [PDF]

open access: yes, 2012
In this paper, we mainly get three results. First, let p, q be distinct primes with \gcd ((p-1)p,(q-1)q)=\gcd (p-1,q-1)=e ; we give a method to compute the linear complexity of Whiteman's generalized cyclotomic sequences of period p^{m+1}q n+1.
Hu, L, Wang, M, Yue, Q
core   +1 more source

Qualified difference sets from unions of cyclotomic classes [PDF]

open access: yes, 2009
Qualified difference sets (QDS) composed of unions of cyclotomic classes are discussed. An exhaustive computer search for such QDS and modified QDS that also possess the zero residue has been conducted for all powers n=4,6,8 and 10. Two new families were
Broughan, Kevin A., Byard, Kevin
core   +2 more sources

Modularity of fibres in rigid local systems [PDF]

open access: yes, 1999
It is believed that any p-adic Galois representation which is potentially semistable arises from a modular form. The main theorem of Wiles establishes this modularity when the representation in question satisfies various technical restrictions, together ...
Darmon, Henri
core   +2 more sources

Pseudorandomness and Dynamics of Fermat Quotients [PDF]

open access: yes, 2010
We obtain some theoretic and experimental results concerning various properties (the number of fixed points, image distribution, cycle lengths) of the dynamical system naturally associated with Fermat quotients acting on the set $\{0, ..., p-1\}$.
Ostafe, Alina, Shparlinski, Igor E.
core   +1 more source

On parity functions in conformal field theories [PDF]

open access: yes, 1998
We examine general aspects of parity functions arising in rational conformal field theories, as a result of Galois theoretic properties of modular transformations.
Aoki N   +13 more
core   +2 more sources

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