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Notes on the LVP and CVP in $p$-adic Fields

math.NT · 2025-12-30 · unverdicted · novelty 4.0

A polynomial-time algorithm is proposed for solving LVP and CVP in p-adic fields by constructing orthogonal bases via maximal orders and p-radicals when the field is given by a minimal polynomial.

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  • Notes on the LVP and CVP in $p$-adic Fields math.NT · 2025-12-30 · unverdicted · none · ref 5

    A polynomial-time algorithm is proposed for solving LVP and CVP in p-adic fields by constructing orthogonal bases via maximal orders and p-radicals when the field is given by a minimal polynomial.