80 citations · 102 across the 3 of their papers we have counts for
4 papers
Nonintersecting Subspaces Based on Finite Alphabets
Frederique E. Oggier, N. J. A. Sloane, A. R. Calderbank +1
Two subspaces of a vector space are here called ``nonintersecting'' if they meet only in the zero vector. The following problem arises in the design of noncoherent multiple-antenna…
Acyclic Digraphs and Eigenvalues of (0,1)-Matrices
Brendan D. McKay, Frederique E. Oggier, Gordon F. Royle +3
We show that the number of acyclic directed graphs with n labeled vertices is equal to the number of n X n (0,1)-matrices whose eigenvalues are positive real numbers.
The Z_4-Linearity of Kerdock, Preparata, Goethals and Related Codes
A. Roger Hammons, P. Vijay Kumar, A. R. Calderbank +2
Certain notorious nonlinear binary codes contain more codewords than any known linear code. These include the codes constructed by Nordstrom-Robinson, Kerdock, Preparata, Goethals,…
A linear construction for certain Kerdock and Preparata codes
A. R. Calderbank, A. Roger Hammons, P. Vijay Kumar +2
The Nordstrom-Robinson, Kerdock, and (slightly modified) Pre\- parata codes are shown to be linear over $\ZZ_4$, the integers . The Kerdock and Preparata codes are duals o…