Gurjar, Rohit; Thierauf, Thomas; Vishnoi, Nisheeth K. Isolating a vertex via lattices: polytopes with totally unimodular faces. (English) Zbl 07333148 SIAM J. Comput. 50, No. 2, 636-661 (2021). MSC: 68Q87 90C27 90C57 05B35 PDF BibTeX XML Cite \textit{R. Gurjar} et al., SIAM J. Comput. 50, No. 2, 636--661 (2021; Zbl 07333148) Full Text: DOI
Henk, Martin; Thiel, Carsten Restricted successive minima. (English) Zbl 1314.11046 Pac. J. Math. 269, No. 2, 341-354 (2014). Reviewer: Gabriele Nebe (Aachen) MSC: 11H06 52C07 PDF BibTeX XML Cite \textit{M. Henk} and \textit{C. Thiel}, Pac. J. Math. 269, No. 2, 341--354 (2014; Zbl 1314.11046) Full Text: DOI arXiv
Ajtai, Miklós Generating hard instances of lattice problems. (English) Zbl 1071.11041 Krajíček, Jan (ed.), Complexity of computations and proofs. Rome: Aracne; Napoli: Dipartimento di Matematica della Seconda Università di Napoli (ISBN 88-7999-413-1/hbk). Quaderni di Matematica 13, 1-32 (2004). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 11H06 68Q17 11Y16 PDF BibTeX XML Cite \textit{M. Ajtai}, Quad. Mat. 13, 1--32 (2004; Zbl 1071.11041)
Martinet, Jacques Reduction modulo 2 and 3 of Euclidean lattices. (English) Zbl 1047.11064 J. Algebra 251, No. 2, 864-887 (2002). Reviewer: Heinz Georg Quebbemann (Oldenburg) MSC: 11H06 PDF BibTeX XML Cite \textit{J. Martinet}, J. Algebra 251, No. 2, 864--887 (2002; Zbl 1047.11064) Full Text: DOI
Aardal, Karen; Hurkens, Cor A. J.; Lenstra, Arjen K. Solving a system of linear Diophantine equations with lower and upper bounds on the variables. (English) Zbl 1073.90528 Math. Oper. Res. 25, No. 3, 427-442 (2000). MSC: 90C10 11Y50 11D04 PDF BibTeX XML Cite \textit{K. Aardal} et al., Math. Oper. Res. 25, No. 3, 427--442 (2000; Zbl 1073.90528) Full Text: DOI
Håstad, Johan; Lagarias, Jeffrey C. Simultaneously good bases of a lattice and its reciprocal lattice. (English) Zbl 0671.10028 Math. Ann. 287, No. 1, 163-174 (1990). Reviewer: J.Håstad MSC: 11H06 11H55 68Q25 PDF BibTeX XML Cite \textit{J. Håstad} and \textit{J. C. Lagarias}, Math. Ann. 287, No. 1, 163--174 (1990; Zbl 0671.10028) Full Text: DOI EuDML
de Weger, B. M. M. Algorithms for diophantine equations. (English) Zbl 0687.10013 CWI Tract, 65. Amsterdam: Centrum voor Wiskunde en Informatica. viii, 212 p. Dfl. 33.00 (1989). Reviewer: István Gaál (Debrecen) MSC: 11Y50 11D61 11-02 11D41 11D59 11J86 PDF BibTeX XML Cite \textit{B. M. M. de Weger}, Algorithms for diophantine equations. Amsterdam: Centrum voor Wiskunde en Informatica (1989; Zbl 0687.10013)
Dieter, U. Calculating shortest vectors in a lattice. (English) Zbl 0606.10024 Ber. Math.-Stat. Sekt. Forschungszent. Graz 244, 14 p. (1985). Reviewer: M.Pohst MSC: 11H06 11H50 65C10 PDF BibTeX XML
Lenstra, A. K. Lattices and factorization of polynomials over algebraic number fields. (English) Zbl 0541.68018 Computer algebra, EUROCAM ’82, Conf. Marseille/France 1982, Lect. Notes Comput. Sci. 144, 32-39 (1982). MSC: 68Q25 11R09 11H55 PDF BibTeX XML