On construction of Barnes-Wall lattices

Dhaka, Vikas; Vinocha, O.P.

J. Math. Comput. Sci. 3 (2013), 1271–1285

On construction of Barnes-Wall lattices

Vikas Dhaka, O.P. Vinocha

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Abstract

This paper presents the construction for decomposable Barnes-Wall principal sublattices (BWPSL) especially in rotated version, based on augmenting the product lattices involving lower dimensional component lattices from the same family. Particularly, a product lattice is constructed for which no additional augmenting is required. Certain properties of parameters including minimum distance and coding gain of augmented lattice are derived with a few examples.

Published: 8 October 2013
Volume: 3 (2013)
License: CC BY 3.0

Copyright © 2013 Vikas Dhaka, O.P. Vinocha. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

V. Dhaka, O. P. Vinocha, On construction of Barnes-Wall lattices, J. Math. Comput. Sci. 3 (2013), 1271–1285.

BibTeX

@article{Dhaka2013,
  author  = {Dhaka, Vikas and Vinocha, O.P.},
  title   = {On construction of Barnes-Wall lattices},
  journal = {J. Math. Comput. Sci.},
  volume  = {3},
  year    = {2013},
  pages   = {1271--1285},
  doi     = {}
}