Zobrazeno 1 - 10
of 498
pro vyhledávání: '"Gary McGuire"'
Autor:
Rod Gow, Gary McGuire
Publikováno v:
Linear Algebra and its Applications.
Let $F$ be a field of prime characteristic $p$ and let $q$ be a power of $p$. We assume that $F$ contains the finite field of order $q$. A $q$-polynomial $L$ over $F$ is an element of the polynomial ring $F[x]$ with the property that those powers of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6e826dc7e002d9e110f0130b48c2502a
https://doi.org/10.1016/j.laa.2023.03.004
https://doi.org/10.1016/j.laa.2023.03.004
Autor:
Gary McGuire, Daniela O'Hara
Publikováno v:
Journal of Symbolic Computation. 104:90-104
The XL algorithm is an algorithm for solving overdetermined systems of multivariate polynomial equations, which was initially introduced for quadratic equations. However, the algorithm works for polynomials of any degree, and in this paper we will fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a4b54178213cc399546b55099b1843d7
https://doi.org/10.1016/j.jsc.2020.04.007
https://doi.org/10.1016/j.jsc.2020.04.007
Autor:
Alfonso Sanchez-Macian, Mark F. Flanagan, Gary McGuire, Francisco Garcia-Herrero, Juan Antonio Maestro
Publikováno v:
IEEE Transactions on Circuits and Systems II: Express Briefs. 68:1438-1442
This brief introduces a new method to compute in parallel the roots of a polynomial locator of degree four in a Reed-Solomon decoder. The novelty of this brief is the introduction of an algorithm that transforms the polynomial locator obtained with t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::54726e34129e4707c05b7ef5bc96d66a
https://doi.org/10.1109/tcsii.2020.3038462
https://doi.org/10.1109/tcsii.2020.3038462
Autor:
Oisin Robinson, Gary McGuire
Publikováno v:
Journal of Mathematical Cryptology, Vol 15, Iss 1, Pp 223-236 (2020)
Lattice sieving in two dimensions has proven to be an indispensable practical aid in integer factorization and discrete log computations involving the number field sieve. The main contribution of this article is to show that a different method of lat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::43785ba2cef515f9571b7ae47fcc2c9f
https://doi.org/10.1515/jmc-2020-0008
https://doi.org/10.1515/jmc-2020-0008
Autor:
Emrah Sercan Yılmaz, Gary McGuire
Publikováno v:
Journal of Pure and Applied Algebra. 223:3341-3358
In this paper we consider the curves C k ( p , a ) : y p − y = x p k + 1 + a x defined over F p and give a positive answer to a conjecture about a divisibility condition on L-polynomials of the curves C k ( p , a ) . Our proof involves finding an e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1d8f3fd4161cf1a11f43ce20dbeba8fc
https://doi.org/10.1016/j.jpaa.2018.11.005
https://doi.org/10.1016/j.jpaa.2018.11.005
Autor:
Colm Mulcahy, Gary McGuire
Publikováno v:
Irish Mathematical Society Bulletin. :35-50
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::209529ce8f7dfd5aa07dfcf3bf42ea42
https://doi.org/10.33232/bims.0084.35.50
https://doi.org/10.33232/bims.0084.35.50
Autor:
Gary McGuire, John Sheekey
Publikováno v:
Arithmetic of Finite Fields ISBN: 9783030688684
WAIFI
WAIFI
Throughout this paper we let p be a prime number, let \(q=p^r\) and let \(\mathbb {F}_{q^n}\) denote a finite field with \(q^n\) elements, where n is a positive integer.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e7ef67e37c04eeddca7673fd7a1dc9e7
https://doi.org/10.1007/978-3-030-68869-1_2
https://doi.org/10.1007/978-3-030-68869-1_2
Autor:
Gary McGuire, Daniela Mueller
Publikováno v:
Finite Fields and their Applications ISBN: 9783110621730
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7256edaac7857020c3d71e2610dd85b4
https://doi.org/10.1515/9783110621730-010
https://doi.org/10.1515/9783110621730-010
Publikováno v:
RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname
Repositori Universitat Jaume I
Universitat Jaume I
instname
Repositori Universitat Jaume I
Universitat Jaume I
[EN] We present new quantum codes with good parameters which are constructed from self-orthogonal algebraic geometry codes. Our method permits a wide class of curves to be used in the formation of these codes. These results demonstrate that there is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5dc234c6414a75fc772b93c1cceb433a
https://doi.org/10.1007/s11128-020-2616-8
https://doi.org/10.1007/s11128-020-2616-8
Autor:
Gary McGuire, Emrah Sercan Yılmaz
Publikováno v:
Finite Fields and Their Applications. 54:65-79
In general, the L-polynomial of a curve of genus g is determined by g coefficients. We show that the L-polynomial of a supersingular curve of genus g is determined by fewer than g coefficients
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::63ba206170632e8ff4c6705bf494ebae
https://doi.org/10.1016/j.ffa.2018.06.009
https://doi.org/10.1016/j.ffa.2018.06.009