书目名称 | List Decoding of Error-Correcting Codes |
副标题 | Winning Thesis of th |
编辑 | Venkatesan Guruswami |
视频video | |
概述 | Includes supplementary material: |
丛书名称 | Lecture Notes in Computer Science |
图书封面 |  |
描述 | How can one exchange information e?ectively when the medium of com- nication introduces errors? This question has been investigated extensively starting 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 some spectacular new results in the area of decoding algorithms for error-correctingcodes. Speci?cally,itshowshowthenotionof“list-decoding” can be applied to recover from far more errors, for a wide variety of err- correcting codes, than achievable before. A brief bit of background: error-correcting codes are combinatorial str- tures that show how to represent (or “encode”) information so that it is - silient to a moderate number of errors. Speci?cally, an error-correcting code takes a short binary string, called the message, and shows how to transform it into a longer binary string, called the codeword, so that if a small number of bits of the codewordare ?ipped, the resulting string does not look like any other codeword. The maximum numb |
出版日期 | Book 2005 |
关键词 | Code; Error-correcting Code; Information; Shannon; algorithms; coding theory; complexity theory; concatenat |
版次 | 1 |
doi | https://doi.org/10.1007/b104335 |
isbn_softcover | 978-3-540-24051-8 |
isbn_ebook | 978-3-540-30180-6Series ISSN 0302-9743 Series E-ISSN 1611-3349 |
issn_series | 0302-9743 |
copyright | Springer-Verlag Berlin Heidelberg 2005 |