Results 271 to 280 of about 19,174 (291)
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On the List Decodability of Burst Errors
IEEE Transactions on Information Theory, 2016Burst errors are a type of distortion in many data communications and data storage channels. In this paper, we consider the list decodability of codes for single burst error case and phased-burst error case independently. Firstly, we analyze the list decodability of random codes, and we show that the burst list decoding radius and the rate of random ...
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List Decoding of Crisscross Errors
IEEE Transactions on Information Theory, 2017In this paper, list decoding of crisscross errors in arrays over finite fields is considered. For this purpose, the so-called cover metric is used, where the cover of a matrix is a set of rows and columns which contains all non-zero elements of the matrix.
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The Complexity of Local List Decoding
2008We study the complexity of locally list-decoding binary error correcting codes with good parameters (that are polynomially related to information theoretic bounds). We show that computing majority over i¾?(1/i¾?) bits is essentially equivalent to locally list-decoding binary codes from relative distance 1/2 i¾?
Dan Gutfreund, Guy N. Rothblum
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List decoding with side information
18th IEEE Annual Conference on Computational Complexity, 2003. Proceedings., 2004Under list decoding of error-correcting codes, the decoding algorithm is allowed to output a small list of codewords that are close to the noisy received word. This relaxation permits recovery even under very high noise thresholds. We consider one possible scenario that would permit disambiguating between the elements of the list, namely where the ...
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List Decoding and Pseudorandom Constructions
2007There is a rich interplay between coding theory and computational complexity theory that has enriched both disciplines over the years. In particular, list decoding and closely related notions have been instrumental in several advances in explicit constructions of combinatorial objects with strong “random-like” properties, such as expander graphs ...
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List-decoding multiplicity codes
Electron. Colloquium Comput. Complex., 2012Summary: We study the list-decodability of multiplicity codes. These codes, which are based on evaluations of high-degree polynomials and their derivatives, have rate approaching \(1\) while simultaneously allowing for sublinear-time error correction.
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A Fast Polar Code List Decoder Architecture Based on Sphere Decoding
IEEE Transactions on Circuits and Systems I: Regular Papers, 2016Seyyed Ali Hashemi +2 more
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Low complexity list successive cancellation decoding of polar codes
IET Communications, 2014Congzhe Cao, Zesong Fei, Jinhong Yuan
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LLR-Based Successive Cancellation List Decoding of Polar Codes
IEEE Transactions on Signal Processing, 2015Alexios Balatsoukas-Stimming +2 more
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Belief Propagation List Decoding of Polar Codes
IEEE Communications Letters, 2018Ahmed Elkelesh +2 more
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