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 with minimum average energy from a ...

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 with minimum average energy from a ...

Signal sets matched to the additive group of GF(p) under the Mannheim distance are constructed. Such constellations are obtained via the ring of algebraic integers of an extension K=Q(√d) of Q, Where d=-1 or d=-3. The ...

In this paper, we present the constructions of rotated ℤ3r-1-lattices, where r is a positive integer, via ℤ-modules of the ring of the integers ℤ [ζ3r+ζ 3r-1]. Our focus is on totally real number fields since the associated ...

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 metric modulo a ...

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 metric modulo a ...

Lattices can be applied in different areas of research, particularly, they can be applied in information theory and encryption schemes. Signal constellations having lattice structure have been used as a support for signal ...