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- Trajano Pires da Nóbrega Neto, J. Carmelo Interlando, Osvaldo Milaré Favareto, Michele Elia, Reginaldo Palazzo
- IEEE Trans. Information Theory
- 2001

We propose new classes of linear codes over integer rings of quadratic extensions of Q, the field of rational numbers. The codes are considered with respect to a Mannheim metric, which is a Manhattan… (More)

- J. Carmelo Interlando, Michele Elia, Trajano Pires da Nóbrega Neto
- Electronic Notes in Discrete Mathematics
- 2001

Abstract A construction technique of finite point constellations in n -dimensional spaces from ideals in rings of algebraic integers is described. An algorithm is presented to find constellations… (More)

Departamento de Matematica Universidade Estadual Paulista, 15054-000, Sao Jose do Rio Preto, SP

A formula for computing the discriminant of any Abelian number field K is given. It is presented as a function of the conductor m of K and of the degrees of the fields K ∩ ℚ(ζpα) over ℚ, where p runs… (More)

A new constructive family of asymptotically good lattices with respect to sphere packing density is presented. The family has a lattice in every dimension n ≥ 1. Each lattice is obtained from a… (More)

Abstract Let m and n be integers greater than 1. Given lattices A and B of dimensions m and n , respectively, a technique for constructing a lattice from them of dimension m + n - 1 is introduced.… (More)

In this work, p-dimensional point-lattices are constructed from a number field L, where L/ℚ is a cyclic extension of degree p, an odd unramified prime in L/ℚ. Families of lattices whose packing… (More)

Let p be a prime, and let ζp be a primitive p-th root of unity. The lattices in Craig’s family are (p − 1)-dimensional and are geometrical representations of the integral Z[ζp]-ideals 〈1− ζp〉 , where… (More)

Let p be a prime number. A formula for the minimum absolute value of the discriminant of all Abelian extensions of ℚ of degree p2 is given in terms of p.