Decoding Algebraic-geometric Codes Beyond The Error-correction Bound
Science Division, University of California at Berkeley, Berkeley, CA Published in: ·Proceeding STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing Pages 241-248 ACM New York, NY, USA ©1998 tableofcontents ISBN:0-89791-962-9 doi>10.1145/276698.276753 1998 Article Bibliometrics ·Downloads (6 Weeks): 1 ·Downloads (12 Months): 3 ·Downloads (cumulative): 372 ·Citation Count: 6 Recent authors with related interests Concepts in this article powered by Concepts inDecoding algebraic-geometric codes beyond the error-correction bound Forward error correction In telecommunication, information theory, and coding theory, forward error correction (FEC) or channel coding is a technique used for controlling errors in data transmission over unreliable or noisy communication channels. The central idea is the sender encodes their message in a redundant way by using an error-correcting code (ECC). The American mathematician Richard Hamming pioneered this field in the 1940s and invented the first error-correcting code in 1950: the Hamming (7,4) code. morefromWikipedia Error detection and correction In information theory and coding theory with applications in computer science and telecommunication, error detection and correction or error control are techniques that enable reliable delivery of digital data over unreliable communication channels. Many communication channels are subject to channel noise, and thus errors may be introduced during transmission from the source to a receiver. morefromWikipedia Algebraic geometry Algebraic geometry is a branch of mathematics which combines techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry. It occupies a central place in modern mathematics and has multiple conceptual connections with such diverse fields as complex analysis, topology and number theory. morefromWikipedia Code A code is a rule for converting a piece of information into another form or representation (one sign into another sign), not necessarily of the same type. In communications and information processing, encoding is the process by which information from a source is converted into symbols to be communicated. Decoding is the reverse process, converting these code symbols back into information understandable by a receiver. morefromWikipedia Tools and Resources Buy this Article Recommend the ACM DLto your organization Request Permissions TOC Service: Email RSS Save to Binder Export Formats: BibTeX EndNote ACMRef Upcoming Conference: STOC
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