Optimal rate list decoding of folded algebraic-geometric codes over constant-sized alphabets
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[1] Henning Stichtenoth,et al. Algebraic function fields and codes , 1993, Universitext.
[2] Enkatesan G Uruswami. Unbalanced expanders and randomness extractors from Parvaresh-Vardy codes , 2008 .
[3] Venkatesan Guruswami,et al. Explicit subspace designs , 2013, 2013 IEEE 54th Annual Symposium on Foundations of Computer Science.
[4] Claus Fieker,et al. Computing equations of curves with many points , 2013 .
[5] H. Niederreiter,et al. Rational Points on Curves Over Finite Fields: Theory and Applications , 2001 .
[6] H. Stichtenoth,et al. A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vladut bound , 1995 .
[7] Florian Hess,et al. Computing Riemann-Roch Spaces in Algebraic Function Fields and Related Topics , 2002, J. Symb. Comput..
[8] Vijaya Kumar Murty,et al. EFFECTIVE VERSIONS OF THE CHEBOTAREV DENSITY THEOREM FOR FUNCTION FIELDS , 1994 .
[9] Venkatesan Guruswami,et al. List decoding reed-solomon, algebraic-geometric, and gabidulin subcodes up to the singleton bound , 2013, STOC '13.
[10] Venkatesan Guruswami,et al. Linear-Algebraic List Decoding for Variants of Reed–Solomon Codes , 2013, IEEE Transactions on Information Theory.
[11] Gerhard Frey,et al. On the different of abelian extensions of global fields , 1992 .
[12] H. Stichtenoth,et al. On the Asymptotic Behaviour of Some Towers of Function Fields over Finite Fields , 1996 .
[13] W. W. Peterson,et al. Encoding and error-correction procedures for the Bose-Chaudhuri codes , 1960, IRE Trans. Inf. Theory.
[14] Venkatesan Guruswami,et al. Explicit Codes Achieving List Decoding Capacity: Error-Correction With Optimal Redundancy , 2005, IEEE Transactions on Information Theory.
[15] Venkatesan Guruswami,et al. Folded codes from function field towers and improved optimal rate list decoding , 2012, STOC '12.
[16] Venkatesan Guruswami. Cyclotomic function fields, Artin–Frobenius automorphisms, and list error correction with optimal rate , 2010 .