209 citations · 212 across the 4 of their papers we have counts for
5 papers
A Note on Projecting the Cubic Lattice
N. J. A. Sloane, Vinay A. Vaishampayan, Sueli I. R. Costa
It is shown that, given any (n-1)-dimensional lattice L, there is a vector v in Z^n such that the projection of Z^n onto v^perp is arbitrarily close to L. The problem arises in att…
Generalizations of Schöbi's Tetrahedral Dissection
N. J. A. Sloane, Vinay A. Vaishampayan
Let v_1, ..., v_n be unit vectors in R^n such that v_i . v_j = -w for i != j, where -1 <w < 1/(n-1). The points Sum_{i=1..n} lambda_i v_i, where 1 >= lambda_1 >= ... >= lambda_n >=…
Constant Weight Codes: A Geometric Approach Based on Dissections
Chao Tian, Vinay A. Vaishampayan, N. J. A. Sloane
We present a novel technique for encoding and decoding constant weight binary codes that uses a geometric interpretation of the codebook. Our technique is based on embedding the co…
Multiple Description Vector Quantization with Lattice Codebooks: Design and Analysis
Vinay A. Vaishampayan, N. J. A. Sloane, Sergio D. Servetto
The problem of designing a multiple description vector quantizer with lattice codebook Lambda is considered. A general solution is given to a labeling problem which plays a crucial…
Asymmetric Multiple Description Lattice Vector Quantizers
Suhas N. Diggavi, N. J. A. Sloane, Vinay A. Vaishampayan
We consider the design of asymmetric multiple description lattice quantizers that cover the entire spectrum of the distortion profile, ranging from symmetric or balanced to success…