On the Effective Computation of Isomorphisms Between sigma_F(O_F/p) and GF(N_F(p)),

This paper describes one algorithm to explicitly compute a _field isomorphism from sigma_F(O_F=p) onto the Galois _field GF(N_F(p)), and another one to explicitly compute its inverse. Here, F is a number _field of degree n, sigma_F is the canonical embedding of F in Rn, p is a prime ideal in O_F, the ring of integers of F, and N_F(p) is the algebraic norm of p. The combination of these two algorithms is a systematic technique to construct, encode, and decode multidimensional lattice constellations of practical interest.