6 citations · 10 across the 6 of their papers we have counts for
6 papers
Invariant derivations and trace bounds
Skip Garibaldi, Robert M. Guralnick, Eric M. Rains
About 20 years ago, J-P.~Serre announced a bound on the trace of elements of compact Lie groups under the adjoint representation together with related results, provided indications…
Codes and Invariant Theory
Gabriele Nebe, E. M. Rains, N. J. A. Sloane
The main theorem in this paper is a far-reaching generalization of Gleason's theorem on the weight enumerators of codes which applies to arbitrary-genus weight enumerators of self-…
Self-Dual Codes
E. M. Rains, N. J. A. Sloane
Self-dual codes are important because many of the best codes known are of this type and they have a rich mathematical theory. Topics covered in this survey include codes over F_2,…
On Asymmetric Coverings and Covering Numbers
David Applegate, E. M. Rains, N. J. A. Sloane
An asymmetric covering D(n,R) is a collection of special subsets S of an n-set such that every subset T of the n-set is contained in at least one special S with |S| - |T| <= R. In…
The Lattice of N-Run Orthogonal Arrays
E. M. Rains, N. J. A. Sloane, John Stufken
If the number of runs in a (mixed-level) orthogonal array of strength 2 is specified, what numbers of levels and factors are possible? The collection of possible sets of parameters…
Quantum Error Correction via Codes over GF(4)
A. R. Calderbank, E. M Rains, P. W. Shor +1
The problem of finding quantum error-correcting codes is transformed into the problem of finding additive codes over the field GF(4) which are self-orthogonal with respect to a cer…