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Over the years coding theory and complexity theory have benefited from a number of mutually enriching connections. This article focuses on a new connection that has emerged between the two topics in the recent years. This connection is centered around the notion of “list-decoding” for error-correcting codes. In this survey we describe the list-decoding
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Bidirectional fano algorithm for high throughput sequential decoding [PDF]
Various techniques, such as bidirectional search, have been employed in sequential decoding to reduce the decoding delay. In this paper, a idirectional Fano algorithm (BFA) is proposed, in which a forward decoder (FD) and a backward decoder (BD) search ...
Koçak, T +8 more
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A Low-latency Successive Cancellation List Decoding Algorithm for Polar Codes [PDF]
In order to further reduce the decoding delay,a low-latency adaptive Successive Cancellation List(SCL) decoding algorithm based on path reuse is proposed.A repeated path replicating scheme based on CRC check is adopted for the phenomenon that there is a ...
LIU Yajun,LI Shibao,LIU Jianhang,CHEN Haihua
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Simple algorithms for BCH decoding [PDF]
Summary: Some simple algorithms for decoding BCH codes are proposed. We show that the pruned FFT is an effective method for evaluating syndromes and for finding the roots of error-locator polynomials. We show that a simple variation of the basic Gaussian elimination procedure can be adapted to compute the error-locator polynomial efficiently for codes ...
Jonathan Hong, Martin Vetterli
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A Decoding Algorithm for LDPC Codes Over Erasure Channels with Sporadic Errors [PDF]
An efficient decoding algorithm for low-density parity-check (LDPC) codes on erasure channels with sporadic errors (i.e., binary error-and-erasure channels with error probability much smaller than the erasure probability) is proposed and its performance ...
Paolini, Enrico +9 more
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Iterative source and channel decoding relying on correlation modelling for wireless video transmission [PDF]
Since joint source-channel decoding (JSCD) is capable of exploiting the residual redundancy in the source signals for improving the attainable error resilience, it has attracted substantial attention.
Wang, Tao +3 more
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Viterbi decoding strategies for 5 GHz wireless LAN systems [PDF]
Standards for the operation of wireless local area network (WLAN) technology in the 5 GHz band have been developed in Europe, North America and Japan. These systems employ orthogonal frequency division multiplexing (OFDM) technology, and utilize forward ...
Nix, AR +4 more
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List-Decoding Algorithms for Lifted Codes [PDF]
15 pages, no figures.
Alan Guo, Swastik Kopparty
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Graph-Based Codes and Iterative Decoding [PDF]
The field of error correcting codes was revolutionized by the introduction of turbo codes in 1993. These codes demonstrated dramatic performance improvements over any previously known codes, with significantly lower complexity.
Khandekar, Aamod Dinkar
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A minimax robust decoding algorithm
We study the decoding problem in an uncertain noise environment. If the receiver knows the noise probability density function (PDF) at each time slot or its a priori probability, the standard Viterbi (1967) algorithm (VA) or the a posteriori probability (APP) algorithm can achieve optimal performance.
Wei, Lei +3 more
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