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- W4288111185 abstract "Given a parametric lattice with a basis given by polynomials in Z[t], we give an algorithm to construct an LLL-reduced basis whose elements are eventually quasi-polynomial in t: that is, they are given by formulas that are piecewise polynomial in t (for sufficiently large t), such that each piece is given by a congruence class modulo a period. As a consequence, we show that there are parametric solutions of the shortest vector problem (SVP) and closest vector problem (CVP) that are also eventually quasi-polynomial in t." @default.
- W4288111185 created "2022-07-28" @default.
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- W4288111185 date "2019-09-10" @default.
- W4288111185 modified "2023-09-29" @default.
- W4288111185 title "A parametric version of LLL and some consequences: parametric shortest and closest vector problems" @default.
- W4288111185 doi "https://doi.org/10.48550/arxiv.1909.04762" @default.
- W4288111185 hasPublicationYear "2019" @default.
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