-
1
-
-
0000410151
-
A class of polynomials
-
[Carlitz 1938] . MR 1501937 Zbl 0018.19806
-
[Carlitz 1938] L. Carlitz, "A class of polynomials", Trans. Amer. Math. Soc. 43:2 (1938), 167-182. MR 1501937 Zbl 0018.19806
-
(1938)
Trans. Amer. Math. Soc.
, vol.43
, Issue.2
, pp. 167-182
-
-
Carlitz, L.1
-
2
-
-
0002144333
-
On the different of abelian extensions of global fields
-
[Frey et al. 1992], Coding theory and algebraic geometry (Luminy,1991), edited by H. Stichtenoth and M. A. Tsfasman, Springer, Berlin. MR 93h:11129 Zbl 0776.11067
-
[Frey et al. 1992] G. Frey, M. Perret, and H. Stichtenoth, "On the different of abelian extensions of global fields", pp. 26-32 in Coding theory and algebraic geometry (Luminy, 1991), edited by H. Stichtenoth and M. A. Tsfasman, Lecture Notes in Math. 1518, Springer, Berlin, 1992. MR 93h:11129 Zbl 0776.11067
-
(1992)
Lecture Notes in Math.
, vol.1518
, pp. 26-32
-
-
Frey, G.1
Perret, M.2
Stichtenoth, H.3
-
3
-
-
0003092390
-
A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vlǎdu̧t bound
-
[Garcia and Stichtenoth 1995]. MR 96d:11074 Zbl 0822.11078
-
[Garcia and Stichtenoth 1995] A. Garcia and H. Stichtenoth, "A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vlǎdu̧t bound", Invent. Math. 121:1 (1995), 211-222. MR 96d:11074 Zbl 0822.11078
-
(1995)
Invent. Math.
, vol.121
, Issue.1
, pp. 211-222
-
-
Garcia, A.1
Stichtenoth, H.2
-
4
-
-
0030511284
-
On the asymptotic behaviour of some towers of function fields over finite fields
-
[Garcia and Stichtenoth 1996]. MR 97i:11067 Zbl 0893.11047
-
[Garcia and Stichtenoth 1996] A. Garcia and H. Stichtenoth, "On the asymptotic behaviour of some towers of function fields over finite fields", J. Number Theory 61:2 (1996), 248-273. MR 97i:11067 Zbl 0893.11047
-
(1996)
J. Number Theory
, vol.61
, Issue.2
, pp. 248-273
-
-
Garcia, A.1
Stichtenoth, H.2
-
5
-
-
0003460538
-
List decoding of error-correcting codes
-
[ Guruswami 2004], Springer, Berlin. Zbl 1075.94001
-
[Guruswami 2004] V. Guruswami, List decoding of error-correcting codes, Lecture Notes in Computer Science 3282, Springer, Berlin, 2004. Zbl 1075.94001
-
(2004)
Lecture Notes in Computer Science
, vol.3282
-
-
Guruswami, V.1
-
6
-
-
34047190329
-
Algorithmic results in list decoding
-
[Guruswami 2007] . Zbl 05318520
-
[Guruswami 2007] V. Guruswami, "Algorithmic Results in List Decoding", Foundations and Trends in Theoretical Comp. Sci. 2:2 (2007). Zbl 05318520
-
(2007)
Foundations and Trends in Theoretical Comp. Sci.
, vol.2
, Issue.2
-
-
Guruswami, V.1
-
7
-
-
38849099659
-
Correlated algebraic-geometric codes: Improved list decoding over bounded alphabets
-
[Guruswami and Patthak 2008]. MR 2009a:94054 Zbl 1150.94013
-
[Guruswami and Patthak 2008] V. Guruswami and A. C. Patthak, "Correlated algebraic-geometric codes: improved list decoding over bounded alphabets", Math. Comp. 77:261 (2008), 447-473. MR 2009a:94054 Zbl 1150.94013
-
(2008)
Math. Comp.
, vol.77
, Issue.261
, pp. 447-473
-
-
Guruswami, V.1
Patthak, A.C.2
-
8
-
-
38349146703
-
Explicit codes achieving list decoding capacity: Error-correction with optimal redundancy
-
[Guruswami and Rudra 2008]. MR 2010b: 94096
-
[Guruswami and Rudra 2008] V. Guruswami and A. Rudra, "Explicit codes achieving list decoding capacity: error-correction with optimal redundancy", IEEE Trans. Inform. Theory 54:1 (2008), 135-150. MR 2010b:94096
-
(2008)
IEEE Trans. Inform. Theory
, vol.54
, Issue.1
, pp. 135-150
-
-
Guruswami, V.1
Rudra, A.2
-
9
-
-
0033183669
-
Improved decoding of Reed-Solomon and algebraic-geometry codes
-
[Guruswami and Sudan 1999]. MR 2000j 94033 Zbl 0958.94036
-
[Guruswami and Sudan 1999] V. Guruswami and M. Sudan, "Improved decoding of Reed-Solomon and algebraic-geometry codes", IEEE Trans. Inform. Theory 45:6 (1999), 1757-1767. MR 2000j 94033 Zbl 0958.94036
-
(1999)
IEEE Trans. Inform. Theory
, vol.45
, Issue.6
, pp. 1757-1767
-
-
Guruswami, V.1
Sudan, M.2
-
10
-
-
0035334492
-
On representations of algebraicgeometry codes
-
[Guruswami and Sudan 2001]. MR 2002b:94046 Zbl 1002.94041
-
[Guruswami and Sudan 2001] V. Guruswami and M. Sudan, "On representations of algebraicgeometry codes", IEEE Trans. Inform. Theory 47:4 (2001), 1610-1613. MR 2002b:94046 Zbl 1002.94041
-
(2001)
IEEE Trans. Inform. Theory
, vol.47
, Issue.4
, pp. 1610-1613
-
-
Guruswami, V.1
Sudan, M.2
-
11
-
-
84968512352
-
Explicit class field theory for rational function fields
-
[Hayes 1974] . MR 48 #8444 Zbl 0292.12018
-
[Hayes 1974] D. R. Hayes, "Explicit class field theory for rational function fields", Trans. Amer. Math. Soc. 189 (1974), 77-91. MR 48 #8444 Zbl 0292.12018
-
(1974)
Trans. Amer. Math. Soc.
, vol.189
, pp. 77-91
-
-
Hayes, D.R.1
-
13
-
-
0015404701
-
A class of constructive asymptotically good algebraic codes
-
[Justesen 1972] . MR 52 #5190 Zbl 0256.94008
-
[Justesen 1972] J. Justesen, "A class of constructive asymptotically good algebraic codes", IEEE Trans. Information Theory IT-18 (1972), 652-656. MR 52 #5190 Zbl 0256.94008
-
(1972)
IEEE Trans. Information Theory IT-18
, pp. 652-656
-
-
Justesen, J.1
-
15
-
-
0004150838
-
-
[ Marcus 1977], Springer, New York. MR 56 #15601 Zbl 0383. 12001
-
[Marcus 1977] D. A. Marcus, Number fields, Springer, New York, 1977. MR 56 #15601 Zbl 0383. 12001
-
(1977)
Number Fields
-
-
Marcus, D.A.1
-
16
-
-
0030460298
-
Explicit global function fields over the binary field with many rational places
-
[Niederreiter and Xing 1996]. MR 97d:11177 Zbl 0877.11065
-
[Niederreiter and Xing 1996] H. Niederreiter and C. Xing, "Explicit global function fields over the binary field with many rational places", Acta Arith. 75:4 (1996), 383-396. MR 97d:11177 Zbl 0877.11065
-
(1996)
Acta Arith.
, vol.75
, Issue.4
, pp. 383-396
-
-
Niederreiter, H.1
Xing, C.2
-
17
-
-
0031537194
-
Cyclotomic function fields, Hilbert class fields, and global function fields with many rational places
-
[Niederreiter and Xing 1997]. MR 97m:11141 Zbl 0891.11057
-
[Niederreiter and Xing 1997] H. Niederreiter and C. Xing, "Cyclotomic function fields, Hilbert class fields, and global function fields with many rational places", Acta Arith. 79:1 (1997), 59-76. MR 97m:11141 Zbl 0891.11057
-
(1997)
Acta Arith.
, vol.79
, Issue.1
, pp. 59-76
-
-
Niederreiter, H.1
Xing, C.2
-
18
-
-
33646831750
-
Correcting errors beyond the Guruswami- Sudan radius in polynomial time
-
[Parvaresh and Vardy 2005],(Pittsburgh, PA, 2005), IEEE
-
[Parvaresh and Vardy 2005] F. Parvaresh and A. Vardy, "Correcting errors beyond the Guruswami- Sudan radius in polynomial time", pp. 285-294 in Proceedings of the 43nd Annual Symposium on Foundations of Computer Science (Pittsburgh, PA, 2005), IEEE, 2005.
-
(2005)
Proceedings of the 43nd Annual Symposium on Foundations of Computer Science
, pp. 285-294
-
-
Parvaresh, F.1
Vardy, A.2
-
19
-
-
0024079029
-
Cyclotomic Goppa codes
-
[Quebbemann 1988] . MR 90b:11135 Zbl 0665.94014
-
[Quebbemann 1988] H.-G. Quebbemann, "Cyclotomic Goppa codes", IEEE Trans. Inform. Theory 34:5, part 2 (1988), 1317-1320. MR 90b:11135 Zbl 0665.94014
-
(1988)
IEEE Trans. Inform. Theory
, vol.34
, Issue.5 PART 2
, pp. 1317-1320
-
-
Quebbemann, H.-G.1
-
20
-
-
0345833724
-
Number theory in function fields
-
[Rosen 2002], Springer, New York. MR 2003d:11171 Zbl 1043.11079
-
[Rosen 2002] M. Rosen, Number theory in function fields, Graduate Texts in Mathematics 210, Springer, New York, 2002. MR 2003d:11171 Zbl 1043.11079
-
(2002)
Graduate Texts in Mathematics
, vol.210
-
-
Rosen, M.1
-
21
-
-
0027147865
-
A Justesen construction of binary concatenated codes that asymptotically meet the Zyablov bound for low rate
-
[Shen 1993] . MR 93m:94046 Zbl 0766.94022
-
[Shen 1993] B.-Z. Shen, "A Justesen construction of binary concatenated codes that asymptotically meet the Zyablov bound for low rate", IEEE Trans. Inform. Theory 39:1 (1993), 239-242. MR 93m:94046 Zbl 0766.94022
-
(1993)
IEEE Trans. Inform. Theory
, vol.39
, Issue.1
, pp. 239-242
-
-
Shen, B.-Z.1
-
22
-
-
0003446050
-
-
[Stichtenoth 1993], Springer, Berlin. MR 94k:14016 Zbl 0816.14011
-
[Stichtenoth 1993] H. Stichtenoth, Algebraic function fields and codes, Springer, Berlin, 1993. MR 94k:14016 Zbl 0816.14011
-
(1993)
Algebraic Function Fields and Codes
-
-
Stichtenoth, H.1
-
23
-
-
33646054110
-
Transitive and self-dual codes attaining the Tsfasman- Vlǎdu̧t-Zink bound
-
[Stichtenoth 2006] . MR 2006m: 94126
-
[Stichtenoth 2006] H. Stichtenoth, "Transitive and self-dual codes attaining the Tsfasman-Vlǎdu̧t-Zink bound", IEEE Trans. Inform. Theory 52:5 (2006), 2218-2224. MR 2006m:94126
-
(2006)
IEEE Trans. Inform. Theory
, vol.52
, Issue.5
, pp. 2218-2224
-
-
Stichtenoth, H.1
-
24
-
-
0031097176
-
Decoding of Reed Solomon codes beyond the error-correction bound
-
[Sudan 1997] . MR 98f:94024 Zbl 0872.68026
-
[Sudan 1997] M. Sudan, "Decoding of Reed Solomon codes beyond the error-correction bound", J. Complexity 13:1 (1997), 180-193. MR 98f:94024 Zbl 0872.68026
-
(1997)
J. Complexity
, vol.13
, Issue.1
, pp. 180-193
-
-
Sudan, M.1
|