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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


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
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Document Date: 2013-08-17 18:16:01


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Portland / /

Company

BP / /

IndustryTerm

energy / /

Organization

Reed College / American Mathematical Society / /

Person

Missy Rohs / Sam Bean / Jodi Benotovich / Dan Handelman / Jerry Shurman / David Perkinson / Trisha Pancio / Hendrik Lenstra / H. W. Lenstra / Jr. / Kristian Williams / Christina Holzer / A. K. Lenstra / Hallie Hargrave / L. Lov´ asz / Darcy Lyon / Joe Buhler / /

Position

thesis adviser / happy mathematician / /

Technology

37 38 44 48 52 Chapter V. Algorithm / LLL Algorithm / be done using the LLL algorithm / /

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