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Titlebook: List Decoding of Error-Correcting Codes; Winning Thesis of th Venkatesan Guruswami Book 2005 Springer-Verlag Berlin Heidelberg 2005 Code.Er

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6 Reed-Solomon and Algebraic-Geometric Codes lists, as a function of the distance and rate of the code. This indicates the “combinatorial” feasibility of list decoding, but provides no way to turn this into an efficient (polynomial time) algorithm that outputs the small list of codewords that differ from a received word in a certain number of positions.
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7 A Unified Framework for List Decoding of Algebraic Codesng to the importance of these codes, these results can be viewed as providing strong evidence to the general utility of list decoding as an algorithmic notion. Indeed, as we shall see in future chapters, they set the stage for a whole body of results about list decoding.
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Venkatesan GuruswamiIncludes supplementary material:
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Lecture Notes in Computer Sciencehttp://image.papertrans.cn/l/image/587013.jpg
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Book 2005ng with the seminal works of Shannon (1948) and Hamming (1950), and has led to the rich theory of “error-correcting codes”. This theory has traditionally gone hand in hand with the algorithmic theory of “decoding” that tackles the problem of recovering from the errors e?ciently. This thesis presents
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1 Introductionfundamental and challenging one. Error-correcting codes (or simply, codes) are objects designed to cope with this problem. They are now ubiquitous and found in all walks of life, ranging from basic home and office appliances like compact disc players and computer hard disk drives to deep space communication.
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