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Integer lattice
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#	Item
11	Factorization of a 768-bit RSA modulus version 1.21, January 13, 2010 Thorsten Kleinjung1 , Kazumaro Jens Franke3 , Arjen K. Lenstra1 , Emmanuel Thomé4 , Add to Reading List Source URL: www.loria.fr Language: English - Date: 2010-01-13 11:00:27 Number theory Quadratic sieve Special number field sieve General number field sieve Quadratic residue Prime number Factor base Lattice sieving RSA Integer factorization algorithms Cryptography Mathematics
12	Abstract Fix an integer m > 2 and let K be a number field containing the mth roots of unity with ring of integers R. Suppose that a is an element of K with a = c/d for c, d ∈ R, and that b is an ideal of R relatively Add to Reading List Source URL: douglassquirrel.com Language: English - Date: 2013-08-17 18:16:01 Lattice points Algebraic number theory Analytic geometry Lattice Lenstra–Lenstra–Lovász lattice basis reduction algorithm Algebraic number field Field extension Vector space Ideal lattice cryptography Algebra Abstract algebra Mathematics
13	A BIJECTION PROVING THE AZTEC DIAMOND THEOREM BY COMBING LATTICE PATHS FRÉDÉRIC BOSIO AND MARC VAN LEEUWEN Abstract. We give a bijective proof of the Aztec diamond theorem, stating that there are 2n(n+1)/2 domino tilin Add to Reading List Source URL: www-math.univ-poitiers.fr Language: English - Date: 2014-09-01 05:21:13 Enumerative combinatorics Domino tiling Matching Partition Delannoy number Coproduct Pi Bijective proof Catalan number Mathematics Combinatorics Integer sequences
14	Factorization of a 768-bit RSA modulus version 1.4, February 18, 2010 Thorsten Kleinjung1 , Kazumaro Jens Franke3 , Arjen K. Lenstra1 , Emmanuel Thomé4 , Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2010-02-18 11:19:25 Number theory Quadratic sieve Special number field sieve General number field sieve Quadratic residue Prime number Factor base Lattice sieving RSA Integer factorization algorithms Cryptography Mathematics
15	Lattice Green’s Functions of the Higher-Dimensional Face-Centered Cubic Lattices Christoph Koutschan MSR-INRIA Joint Centre, Orsay, France November 7 Add to Reading List Source URL: algo.inria.fr Language: English - Date: 2011-11-08 08:20:48 Crystallography Group theory Euclidean geometry Lattice Square lattice Brillouin zone Integer lattice Reciprocal lattice Leech lattice Geometry Abstract algebra Lattice points
16	Lattice Reduction: a Toolbox for the Cryptanalyst Antoine Joux Jacques Stern Add to Reading List Source URL: www1.lip6.fr Language: English - Date: 2015-01-20 15:22:52 Linear algebra Computational number theory Cryptography Lattice reduction Lenstra–Lenstra–Lovász lattice basis reduction algorithm Lattice problem Lattice Integer relation algorithm Vector space Mathematics Algebra Lattice points
17	A Study of Riordan Arrays with Applications to Continued Fractions, Orthogonal Polynomials and Lattice Paths by Aoife Hennessy A thesis submitted in partial fulﬁllment for the Add to Reading List Source URL: repository.wit.ie Language: English - Date: 2011-12-20 10:23:09 Integer sequences Orthogonal polynomials Transforms Linear algebra Permutations Hankel matrix Classical orthogonal polynomials Chebyshev polynomials Generating function Mathematics Mathematical analysis Algebra
18	An inversion theorem for labeled trees and some limits of areas under lattice paths A Dissertation Presented to Add to Reading List Source URL: people.brandeis.edu Language: English - Date: 2008-07-04 11:50:26 Integer sequences Enumerative combinatorics Tree Binary tree Catalan number Factorial Mathematics Combinatorics Discrete mathematics
19	SHARK A Realizable Special Hardware Sieving Device for Factoring 1024-bit Integers Jens Franke1 , Thorsten Kleinjung1 , Christof Paar2 , Jan Pelzl2 , Christine Priplata3 , and Colin Stahlke3 1 Add to Reading List Source URL: www.iacr.org Language: English - Date: 2008-09-15 00:54:55 General number field sieve Numbers Lattice sieving Integer factorization records Sieve TWIRL Factor base Mesh Dynamic random-access memory Integer factorization algorithms Mathematics Quadratic sieve
20	Use of SIMD-Based Data Parallelism to Speed up Sieving in Integer-Factoring Algorithms ? Binanda Sengupta and Abhijit Das Department of Computer Science and Engineering Indian Institute of Technology Kharagpur, West Beng Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2015-01-20 08:14:47 Theoretical computer science Quadratic sieve General number field sieve Rational sieve Quadratic residue Lattice sieving Integer factorization Prime number RSA Integer factorization algorithms Mathematics Cryptography

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