On universally decodable matrices for space---time coding
Designs, Codes and Cryptography
Coding and decoding for the dynamic decode and forward relay protocol
IEEE Transactions on Information Theory
Hi-index | 754.90 |
Universally decodable matrices (UDMs) can be used for coding purposes when transmitting over slow fading channels. These matrices are parameterized by positive integers L and N and a prime power q. The main result of this correspondence is that the simple condition L = q + 1 is both necessary and sufficient for (L, N, q)-VDMs to exist. The existence proof is constructive and yields a coding scheme that is equivalent to a class of codes that was proposed by Rosenbloom and Tsfasman. Our work resolves an open problem posed recently in the literature.