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Volumn , Issue , 2012, Pages 339-350

Folded codes from function field towers and improved optimal rate list decoding

Author keywords

algebraic codes; list decoding capacity; list error correction; pseudorandomness; subspace evasive sets

Indexed keywords

ALGEBRAIC CODES; LIST DECODING CAPACITIES; LIST ERROR CORRECTIONS; PSEUDORANDOMNESS; SUBSPACE-EVASIVE SETS;

EID: 84862627897     PISSN: 07378017     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/2213977.2214009     Document Type: Conference Paper
Times cited : (57)

References (16)
  • 3
    • 0003092390 scopus 로고
    • A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vlǎ;dut bound
    • A. Garcia and H. Stichtenoth. A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vlǎ;dut bound. Inventiones Mathematicae, 121:211-222, 1995.
    • (1995) Inventiones Mathematicae , vol.121 , pp. 211-222
    • Garcia, A.1    Stichtenoth, H.2
  • 4
    • 0030511284 scopus 로고    scopus 로고
    • On the asymptotic behaviour of some towers of function fields over finite fields
    • DOI 10.1006/jnth.1996.0147
    • A. Garcia and H. Stichtenoth. On the asymptotic behavior of some towers of function fields over finite fields. Journal of Number Theory, 61(2):248-273, 1996. (Pubitemid 126172299)
    • (1996) Journal of Number Theory , vol.61 , Issue.2 , pp. 248-273
    • Garcia, A.1    Stichtenoth, H.2
  • 5
    • 77957598958 scopus 로고    scopus 로고
    • Cyclotomic function fields, Artin-Frobenius automorphisms, and list error-correction with optimal rate
    • V. Guruswami. Cyclotomic function fields, Artin-Frobenius automorphisms, and list error-correction with optimal rate. Algebra and Number Theory, 4(4):433-463, 2010.
    • (2010) Algebra and Number Theory , vol.4 , Issue.4 , pp. 433-463
    • Guruswami, V.1
  • 7
    • 84862610291 scopus 로고    scopus 로고
    • Combinatorial limitations of a strong form of list decoding
    • abs/1202.6086
    • V. Guruswami and S. Narayanan. Combinatorial limitations of a strong form of list decoding. CoRR, abs/1202.6086, 2012.
    • (2012) CoRR
    • Guruswami, V.1    Narayanan, S.2
  • 8
    • 38349146703 scopus 로고    scopus 로고
    • Explicit codes achieving list decoding capacity: Error-correction with optimal redundancy
    • V. Guruswami and A. Rudra. Explicit codes achieving list decoding capacity: Error-correction with optimal redundancy. IEEE Transactions on Information Theory, 54(1):135-150, 2008.
    • (2008) IEEE Transactions on Information Theory , vol.54 , Issue.1 , pp. 135-150
    • Guruswami, V.1    Rudra, A.2
  • 9
    • 0033183669 scopus 로고    scopus 로고
    • Improved decoding of Reed-Solomon and algebraic-geometry codes
    • DOI 10.1109/18.782097
    • V. Guruswami and M. Sudan. Improved decoding of Reed-Solomon and Algebraic-geometric codes. IEEE Transactions on Information Theory, 45(6):1757-1767, 1999. (Pubitemid 32871911)
    • (1999) IEEE Transactions on Information Theory , vol.45 , Issue.6 , pp. 1757-1767
    • Guruswami, V.1    Sudan, M.2
  • 10
    • 80052389088 scopus 로고    scopus 로고
    • Optimal rate list decoding via derivative codes
    • August
    • V. Guruswami and C. Wang. Optimal rate list decoding via derivative codes. In Proceedings of APPROX/RANDOM 2011, pages 593-604, August 2011.
    • (2011) Proceedings of APPROX/RANDOM 2011 , pp. 593-604
    • Guruswami, V.1    Wang, C.2
  • 12
    • 0027147865 scopus 로고
    • A Justesen construction of binary concatanated codes that asymptotically meet the Zyablov bound for low rate
    • B. Z. Shen. A Justesen construction of binary concatanated codes that asymptotically meet the Zyablov bound for low rate. IEEE Transactions on Information Theory, 39:239-242, 1993.
    • (1993) IEEE Transactions on Information Theory , vol.39 , pp. 239-242
    • Shen, B.Z.1
  • 13
    • 0035442521 scopus 로고    scopus 로고
    • A low-complexity algorithm for the construction of algebraic-geometric codes better than the Gilbert-Varshamov bound
    • DOI 10.1109/18.945244, PII S0018944801054633
    • K. Shum, I. Aleshnikov, P. V. Kumar, H. Stichtenoth, and V. Deolalikar. A low-complexity algorithm for the construction of algebraic-geometric codes better than the Gilbert-Varshamov bound. IEEE Transactions on Information Theory, 47(6):2225-2241, 2001. (Pubitemid 32949882)
    • (2001) IEEE Transactions on Information Theory , vol.47 , Issue.6 , pp. 2225-2241
    • Shum, K.W.1    Aleshnikov, I.2    Kumar, P.V.3    Stichtenoth, H.4    Deolalikar, V.5
  • 15
    • 0031097176 scopus 로고    scopus 로고
    • Decoding of Reed Solomon codes beyond the error-correction bound
    • DOI 10.1006/jcom.1997.0439, PII S0885064X97904398
    • M. Sudan. Decoding of Reed-Solomon codes beyond the error-correction bound. Journal of Complexity, 13(1):180-193, 1997. (Pubitemid 127172728)
    • (1997) Journal of Complexity , vol.13 , Issue.1 , pp. 180-193
    • Sudan, M.1
  • 16
    • 84893499189 scopus 로고    scopus 로고
    • Foundations and Trends in Theoretical Computer Science (FnT-TCS) NOW publishers, To appear. Draft available at
    • S. Vadhan. Pseudorandomness. Foundations and Trends in Theoretical Computer Science (FnT-TCS). NOW publishers, 2010. To appear. Draft available at http://people.seas.harvard.edu/~salil/pseudorandomness/.
    • (2010) Pseudorandomness
    • Vadhan, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.