The LLL-algorithm
Algebraic number fields and the LLL algorithm
... the LLL algorithm might not seem very useful, since for many practical applications, the goal is to find a well-reduced basis or a sufficiently short vector, therefore the floating-point LLL versions ...
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An improved LLL algorithm
... The LLL algorithm has received a lot of attention as an effective numerical tool for preconditioning an integer least squares ...the algorithm are not well ...the LLL reduction, which leads to ...
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A Verified Efficient Implementation of the LLL Basis Reduction Algorithm
... the LLL algorithm from [5] so as to make it considerably ...the algorithm, that makes extensive use of computations on rational ...the LLL algorithm, thus eliminating the need for the ...
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Some applications of LLL
... As the title Factoring polynomials with ratio- nal coefficients of the original paper in which the LLL algorithm was first published (Mathe- matische Annalen 261 (1982), 515–534) sug- ge[r] ...
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Research Article Loop-Reduction LLL Algorithm and Architecture for Lattice-Reduction-Aided MIMO Detection
... loop-reduction LLL (LR-LLL) algorithm for lattice-reduction-aided (LRA) multi-input multioutput (MIMO) ...The LLL algorithm is an iterative algorithm that contains many check and ...
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Computing an LLL-reduced Basis of the Orthogonal Lattice
... reduction algorithm (LLL) is used to compute a reduced basis of the orthogonal lattice for a given integer matrix, via reducing a special kind of lattice ...classical LLL potential, which could prove ...
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PotLLL: a polynomial time version of LLL with deep insertions
... the LLL algo- rithm. The Block–Korkine–Zolotarev (BKZ) reduction algorithm by Schnorr and Euch- ner [ 14 ] is probably the most used algorithm when stronger reduction than the one achieved by ...
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PotLLL : a polynomial time version of LLL with deep insertions
... the LLL algo- rithm. The Block–Korkine–Zolotarev (BKZ) reduction algorithm by Schnorr and Euch- ner [ 14 ] is probably the most used algorithm when stronger reduction than the one achieved by ...
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Gram-Schmidt Combined LLL Lattice-Reduction Aided Detection in MIMO Systems
... The LLL algorithm transforms the extended channel matrix ¯ H to the reduced channel matrix ¯ H’, of which the column vectors are nearly (but not purely) or- thogonal to one ...The algorithm also ...
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Rounding and Chaining LLL: Finding Faster Small Roots of Univariate Polynomial Congruences
... the algorithm is a high-degree polynomial, which limits experiments: the bottleneck is an LLL reduction of a high-dimensional matrix with extra-large ...Coppersmith's algorithm, which allows us to ...
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Cryptanalysis of a public key cryptosystem based on Diophantine equations via weighted LLL reduction
... the LLL algorithm from the Euclidean norm to a weighted norm which is not widely used in cryptography ...weighted LLL algo- rithm, which is the LLL algorithm with respect to the ...
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An LLL Algorithm with Quadratic Complexity
... reduction algorithm (called LLL or L 3 ) is a fundamental tool in computational number theory and theoretical computer ...3 algorithm outputs a reduced basis in polynomial time O(d 5 n log 3 B), ...
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A modified LLL algorithm for change of ordering of Grobner basis
... of LLL algorithm, which is a an algorithm with output-sensitive complexity, is presented to convert a given Gr¨ obner basis with respect to a specific order of a poly- nomial ideal I in arbitrary ...
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PHD STUDENT: PETRA SALA LATTICES SEMINAR LLL ALGORITHM
... • Finding the minimal polynomial of an algebraic number given to a good enough approximation. • Finding integer relations[r] ...
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lll lll a lldl DID lll DII DID lll DII DIII DD mil lull lld ll Dl lli
... The polymer-metal complex composite of the present inven- tion comprises a block copolymer (A) represented by general formula (a) and a metal complex (B) having MRI contrast ability, w[r] ...
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MERCHANT LAW GROUP LLl!
... 6, Commencing December 1, 2011 and continuing on the first day of every month thereafter until • such time as the arrears as listed in Tenn 3 of this Interim Order are paid in full, the [r] ...
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Floating-Point LLL Revisited
... Unité de recherche INRIA Lorraine LORIA, Technopôle de Nancy-Brabois - Campus scientifique 615, rue du Jardin Botanique - BP 101 - 54602 Villers-lès-Nancy Cedex France Unité de recherche[r] ...
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EUCIS-LLL Key messages
... EUCIS-LLL POSITION AND COMPENDIUM OF GOOD PRACTICES “FOSTERING ENTREPRENEURIAL MINDSETS” June 2013 Within the last ten years, entrepreneurship skills have been prioritised in the EU agenda for a more competitive ...
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LLL Accredited Programs in Europe
... AND LLL RPL (Recognition of Prior Learning) is an interesting approach for LLL since it allows to “open” the mobility of students and the mobility of ...
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Preparing an Islamic Will Edition lll
... We provide scripturally compliant solutions to common legal and financial challenges facing British Muslims, such as how to donate Zaka¯h (charity) on contemporary assets, or prepare an [r] ...
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