Publications related to Prime quadruplet

A class of 2-local finite spectra which admit a v1/2-self-map

At the prime 2, Behrens, Hill, Hopkins and Mahowald showed that M-2 (1, 4) admits a 32-periodic v(2)-self-map. More recently, in joint work with Mahowald, we showed that A(1) also admits a 32-periodic v(2)-self-map. This leads to the question of whether th ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2020

A spectral refinement of the Bergelson–Host–Kra decomposition and new multiple ergodic theorems

Florian Karl Richter

We investigate how spectral properties of a measure-preserving system (X, B, mu, T) are reflected in the multiple ergodic averages arising from that system. For certain sequences a :N -> N, we provide natural conditions on the spectrum sigma (T) such that, ...

2019

Incidences between points and generalized spheres over finite fields and related problems

Van Thang Pham

Let F-q be a finite field of q elements, where q is a large odd prime power and Q = a(1)x(1)(c1) + ..... + a(d)x(d)(cd) is an element of F-q[x(1) ,...,x(d)], where 2

Walter De Gruyter Gmbh2017

ON THE DISCRETE LOGARITHM PROBLEM IN FINITE FIELDS OF FIXED CHARACTERISTIC

Robert Granger, Thorsten Kleinjung, Jens Markus Zumbrägel

For~

q

a prime power, the discrete logarithm problem (DLP) in~

\F_{q}

consists in finding, for any

g \in \mathbb{F}_{q}^{\times}

and

h \in \langle g \rangle

, an integer~

x

such that

g^x = h

. We present an algorithm for computing discrete logarithm ...

2016

On the discrete logarithm problem in finite fields of fixed characteristic

Robert Granger, Thorsten Kleinjung, Jens Markus Zumbrägel

For

q

a prime power, the discrete logarithm problem (DLP) in

\mathbb{F}_q

consists in finding, for any

g \in \mathbb{F}_{q}^{\times}

and

h \in \langle g \rangle

, an integer

x

such that

g^x = h

. We present an algorithm for computing discrete log ...

2015

Primeless Factoring-Based Cryptography

Serge Vaudenay, Sonia Mihaela Bogos

Factoring-based public-key cryptosystems have an overall complexity which is dominated by the key-production algorithm, which requires the generation of prime numbers. This is most inconvenient in settings where the key-generation is not an one-off process ...

2013

Two primes priming: Does feature integration occur before response activation?

Michael Herzog, Frank Scharnowski, Thomas Schmidt, Julianne Grainger

Responses to a target can be sped up or slowed down by a congruent or incongruent prime, respectively. Even though presentations are rapid, the prime and the target are thought to activate motor responses in strict sequence, with prime activation preceding ...

Association for Research in Vision and Ophthalmology2013

Automorphisms of order 2p in binary self-dual extremal codes of length a multiple of 24

Martino Borello

Let C be a binary self-dual code with an automorphism g of order 2p, where p is an odd prime, such that gp is a fixed point free involution. If C is extremal of length a multiple of 24, all the involutions are fixed point free, except the Golay Code and ev ...

Institute of Electrical and Electronics Engineers2013

Primeless Modular Cryptography (Extended Abstract)

Serge Vaudenay, Sonia Mihaela Bogos

Most of the known public-key cryptosystems have an overall complexity which is dominated by the key-production algorithm, which requires the generation of prime numbers. This is most inconvenient in settings where the key-generation is not an one-off proce ...

2012

Invariant Higher-Order Variational Problems II

Tudor Ratiu, François Gay-Balmaz

Motivated by applications in computational anatomy, we consider a second-order problem in the calculus of variations on object manifolds that are acted upon by Lie groups of smooth invertible transformations. This problem leads to solution curves known as ...

Springer Verlag2012

Prime quadruplet

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A class of 2-local finite spectra which admit a v1/2-self-map

A spectral refinement of the Bergelson–Host–Kra decomposition and new multiple ergodic theorems

Incidences between points and generalized spheres over finite fields and related problems

ON THE DISCRETE LOGARITHM PROBLEM IN FINITE FIELDS OF FIXED CHARACTERISTIC

On the discrete logarithm problem in finite fields of fixed characteristic

Primeless Factoring-Based Cryptography

Two primes priming: Does feature integration occur before response activation?

Automorphisms of order 2p in binary self-dual extremal codes of length a multiple of 24

Primeless Modular Cryptography (Extended Abstract)

Invariant Higher-Order Variational Problems II

A spectral refinement of the Bergelson–Host–Kra decomposition and new multiple ergodic theorems

A class of 2-local finite spectra which admit a v1/2-self-map

Incidences between points and generalized spheres over finite fields and related problems

ON THE DISCRETE LOGARITHM PROBLEM IN FINITE FIELDS OF FIXED CHARACTERISTIC

On the discrete logarithm problem in finite fields of fixed characteristic

Primeless Factoring-Based Cryptography

Automorphisms of order 2p in binary self-dual extremal codes of length a multiple of 24

Two primes priming: Does feature integration occur before response activation?

Primeless Modular Cryptography (Extended Abstract)

Invariant Higher-Order Variational Problems II