TY - GEN
T1 - Efficient list decoding of explicit codes with optimal redundancy
AU - Rudra, Atri
PY - 2007
Y1 - 2007
N2 - Under the notion of list decoding, the decoder is allowed to output a small list of codeword such that the transmitted codeword is present in the list. Even though combinatorial limitations on list decoding had been known since the 1970's, there was essentially no algorithmic progress till the breakthrough works of Sudan [14] and GuruswamiSudan [11] in the mid to late 1990's. There was again a lull in algorithmic progress till a couple of recent papers [12,8] closed the gap in our knowledge about combinatorial and algorithmic limitations of list decoding (for codes over large alphabets). This article surveys these latter algorithmic progress.
AB - Under the notion of list decoding, the decoder is allowed to output a small list of codeword such that the transmitted codeword is present in the list. Even though combinatorial limitations on list decoding had been known since the 1970's, there was essentially no algorithmic progress till the breakthrough works of Sudan [14] and GuruswamiSudan [11] in the mid to late 1990's. There was again a lull in algorithmic progress till a couple of recent papers [12,8] closed the gap in our knowledge about combinatorial and algorithmic limitations of list decoding (for codes over large alphabets). This article surveys these latter algorithmic progress.
UR - https://www.scopus.com/pages/publications/38349011296
U2 - 10.1007/978-3-540-77224-8_6
DO - 10.1007/978-3-540-77224-8_6
M3 - Conference contribution
AN - SCOPUS:38349011296
SN - 9783540772231
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 38
EP - 46
BT - Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - 17th International Symposium, AAECC- 17, Proceedings
PB - Springer Verlag
T2 - 17th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-17
Y2 - 16 December 2007 through 20 December 2007
ER -