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.
Cassels,Local fields, Cambridge University Press, Cambridge
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Notes on the LVP and CVP in $p$-adic Fields
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.