On the geometry of balls in the Grassmannian and list decoding of l...
... dimension codes and have recently found an application in random network coding. In this setting codewords ... parametrization of the matrix representation of the codewords. With these results, we consider the problem of list ... recently found an application in random network coding. In this setting codewords from G q(k, n) are sent ... representation of the codewords. With these results, we consider the problem of list decoding a certain family of ...
An algebraic approach for decoding spread codes - Zurich Open Repos...
... network coding. In other words, the codewords are full-rank matrices of size k×n with entries in a finite ... is more efficient than the previous ones in the literature, when the dimension k of the codewords is ... words, the codewords are full-rank matrices of size k×n with entries in a finite field Fq. Spread codes ... than the previous ones in the literature, when the dimension k of the codewords is small with respect ...
SV5.dvi
... , bˆ2, . . . Framer Encoder Channel DecoderDeframer Information Sequence Messages Codewords Received ... codewords to the receiver. For the purpose of this experiment, the Yi’s belong to the same alphabet A. • The ... , bˆ2, . . . Framer Encoder Channel DecoderDeframer Information Sequence Messages Codewords Received ... codewords to the receiver. For the purpose of this experiment, the Yi’s belong to the same alphabet A. • The ...
Construction of rate (n — 1 )/n non-binary LDPC convolutional codes...
... and avoiding the presence of low-weight codewords and absorbing sets. The parameters of the ... low-weight codewords and absorbing sets. The parameters of the convolutional code are shown to be ... of a code and avoiding the presence of low-weight codewords and absorbing sets. The parameters of the ... low-weight codewords and absorbing sets. The parameters of the convolutional code are shown to be ...
https://moser-isi.ethz.ch/docs/tab_fig_it_v610.pdf
... nonsingular codes all codes Stefan M. Moser, Information Theory, Version 6.10. message encoder C ❦ ✵ codewords ... Codewords 0000 000 0001 001 001 010 010 011 011 100 100 101 101 110 11 111 Stefan M. Moser, Information ... nonsingular codes all codes Stefan M. Moser, Information Theory, Version 6.10. message encoder C ❦ ✵ codewords ... Codewords 0000 000 0001 001 001 010 010 011 011 100 100 101 101 110 11 111 Stefan M. Moser, Information ...
Fibre bundle framework for unitary quantum fault tolerance
... monodromy action Vector bundle: Codewords as the tautological vector bundle ξ(K ,N) I Total space is the ... tautological vector bundle (a set of codewords): I A codeword in an ((n,K )) qudit code is a pair (C ,w) where ... monodromy action Vector bundle: Codewords as the tautological vector bundle ξ(K ,N) I Total space is the ... tautological vector bundle (a set of codewords): I A codeword in an ((n,K )) qudit code is a pair (C ,w) where ...
Information Theory Laboratory
... of decoding such huge codewords. Hence, we have started investigating the fundamental limitations of ... channels with only a few codewords and of short blocklength. Optical Communication: Fiber or Air Optical ... of decoding such huge codewords. Hence, we have started investigating the fundamental limitations of ... channels with only a few codewords and of short blocklength. Optical Communication: Fiber or Air Optical ...
ACT 22
... matrices where the distance between a pair of codewords is measured as the rank of their difference. They ... Lifted Reed-Solomon Codes – Hedongliang Liu Minimum distance and the minimum weight codewords of ... codewords is measured as the rank of their difference. They arise in applications such as error-correction ... codewords of Projective Reed-Muller Codes – Rati Ludhani Two-point AG codes from the Beelen-Montanucci ...
isit06.dvi
... of a superposition of two codewords: xn1 (i, j) = √ α1x n 3f(i) + √ β1x˜ n 1 (j) (1) where i and j ... terminal T2 consists of two codewords: xn2 (p, q) = √ α2x n 3b(p) + √ β2x˜ n 2 (q) (2) where p and q range ... of a superposition of two codewords: xn1 (i, j) = √ α1x n 3f(i) + √ β1x˜ n 1 (j) (1) where i and j ... terminal T2 consists of two codewords: xn2 (p, q) = √ α2x n 3b(p) + √ β2x˜ n 2 (q) (2) where p and q range ...
networking-lec3-link1
... All codewords Correct codewords 32 R.W. Hamming (1915-‐1998) • Much early work on codes ... distance between any pair of codewords 34 Hamming Distance (2) • Error detection: – For a code ... All codewords Correct codewords 32 R.W. Hamming (1915-‐1998) • Much early work on codes ... distance between any pair of codewords 34 Hamming Distance (2) • Error detection: – For a code ...
