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- W2950248499 abstract "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 paper is that the simple condition $L leq q+1$ is both necessary and sufficient for $(L,N,q)$-UDMs 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." @default.
- W2950248499 created "2019-06-27" @default.
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- W2950248499 date "2006-01-14" @default.
- W2950248499 modified "2023-09-27" @default.
- W2950248499 title "On the Existence of Universally Decodable Matrices" @default.
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