Construction of Perfect Codes and Rotted Lattices From A2-Lattices
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| Full text | |
| Author(s): |
Torezzan, Cristiano
;
Costa, Sueli I. R.
;
Vaishampayan, Vinay A.
;
IEEE
Total Authors: 4
|
| Document type: | Journal article |
| Source: | 2009 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, VOLS 1- 4; v. N/A, p. 2-pg., 2009-01-01. |
| Abstract | |
A new class of spherical codes is constructed by selecting a finite subset of flat tori that foliate the unit sphere S2L-1 subset of R-2L and constructing a structured codebook on each torus in the finite subset. The codebook on each torus is the image of a lattice restricted to a specific hyperbox in R-L. Group structure and homogeneity, useful for efficient decoding, are inherited from the underlying lattice codebook. Upper and lower bounds on performance are derived and a systematic search algorithm is presented for constructing optimal codebooks. The torus layer spherical codes presented here exhibit good performance when compared to the well known apple-peeling, wrapped and laminated codes. (AU) | |
| FAPESP's process: | 02/07473-7 - Geometrically uniform codes in homogeneous spaces |
| Grantee: | Sueli Irene Rodrigues Costa |
| Support Opportunities: | Research Projects - Thematic Grants |