5 papers
Coset Shaping: Constructions and Bounds
Irina Bocharova, Maiara F. Bollauf, Boris Kudryashov
A new geometric shaping technique, referred to as coset shaping, is proposed and analyzed for coded QAM and PAM signaling. This method can be applied to both information and parity…
On the Maximum Flatness Factor over Unimodular Lattices
Maiara F. Bollauf, Hsuan-Yin Lin
The theta series of a lattice is a power series that characterizes the number of lattice vectors at certain norms. It is closely related to a critical quantity widely used in physi…
Linearity of -Linear Codes via Schur Product
Gustavo T. Bastos, Maiara F. Bollauf, Agnaldo J. Ferrari +1
We propose an innovative approach to investigating the linearity of -linear codes derived from -additive codes using the generalized Gray map. T…
Generalized Theta Series of a Lattice
Maiara F. Bollauf, Hsuan-Yin Lin
Mimicking the idea of the generalized Hamming weight of linear codes, we introduce a new lattice invariant, the generalized theta series. Applications range from identifying stable…
Interactive Nearest Lattice Point Search in a Distributed Setting: Two Dimensions
V. A. Vaishampayan, M. F. Bollauf
The nearest lattice point problem in is formulated in a distributed network with nodes. The objective is to minimize the probability that an incorrect lattice po…