메뉴 건너뛰기




Volumn 43, Issue 9, 2008, Pages 645-658

List decoding of Reed-Solomon codes from a Gröbner basis perspective

Author keywords

Gr bner bases; Interpolation algorithm; List decoding; Reed Solomon codes

Indexed keywords


EID: 42649130660     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsc.2008.01.002     Document Type: Article
Times cited : (51)

References (14)
  • 1
    • 23744478862 scopus 로고    scopus 로고
    • Linear Diophantine equations over polynomials and soft decoding of Reed-Solomon codes
    • Alekhnovich M. Linear Diophantine equations over polynomials and soft decoding of Reed-Solomon codes. IEEE Trans. Inform. Theory 51 7 (2005) 2257-2265
    • (2005) IEEE Trans. Inform. Theory , vol.51 , Issue.7 , pp. 2257-2265
    • Alekhnovich, M.1
  • 3
    • 0003868058 scopus 로고    scopus 로고
    • Springer-Verlag, New York
    • Cox D., Little J., and O'Shea D. Using Algebraic Geometry. 2nd ed. GTM vol. 185 (2005), Springer-Verlag, New York
    • (2005) GTM , vol.185
    • Cox, D.1    Little, J.2    O'Shea, D.3
  • 4
    • 39049167370 scopus 로고    scopus 로고
    • Gröbner bases, Padé approximation, and decoding of linear codes
    • Coding Theory and Quantum Computing
    • Farr J.B., and Gao S. Gröbner bases, Padé approximation, and decoding of linear codes. Coding Theory and Quantum Computing. Contemp. Math. Amer. Math. Soc. vol. 381 (2005)
    • (2005) Contemp. Math. Amer. Math. Soc. , vol.381
    • Farr, J.B.1    Gao, S.2
  • 6
    • 0003460538 scopus 로고    scopus 로고
    • List decoding of error-correcting codes
    • Springer-Verlag
    • Guruswami V. List decoding of error-correcting codes. Lecture Notes in Computer Science vol. 3282 (2005), Springer-Verlag
    • (2005) Lecture Notes in Computer Science , vol.3282
    • Guruswami, V.1
  • 7
    • 0033183669 scopus 로고    scopus 로고
    • Improved decoding of Reed-Solomon and algebraic-geometry codes
    • Guruswami V., and Sudan M. Improved decoding of Reed-Solomon and algebraic-geometry codes. IEEE Trans. Inform. Theory 45 6 (1999) 1757-1767
    • (1999) IEEE Trans. Inform. Theory , vol.45 , Issue.6 , pp. 1757-1767
    • Guruswami, V.1    Sudan, M.2
  • 8
    • 39049154297 scopus 로고    scopus 로고
    • Lee, K., O'Sullivan, M.E., 2006. An interpolation algorithm using Gröbner bases for soft-decision decoding of Reed-Solomon codes. in: Proc. IEEE Symp. Information Theory. Seattle, WA., pp. 2032-2036
    • Lee, K., O'Sullivan, M.E., 2006. An interpolation algorithm using Gröbner bases for soft-decision decoding of Reed-Solomon codes. in: Proc. IEEE Symp. Information Theory. Seattle, WA., pp. 2032-2036
  • 9
    • 0000806040 scopus 로고
    • Gröbner bases of ideals defined by functionals with an application to ideals of projective points
    • Marinari M.G., Möller H.M., and Mora T. Gröbner bases of ideals defined by functionals with an application to ideals of projective points. Appl. Algebra Engrg. Comm. Comput. 4 2 (1993) 103-145
    • (1993) Appl. Algebra Engrg. Comm. Comput. , vol.4 , Issue.2 , pp. 103-145
    • Marinari, M.G.1    Möller, H.M.2    Mora, T.3
  • 10
    • 42649097953 scopus 로고    scopus 로고
    • McEliece, R.J., 2003. The Guruswami-Sudan decoding algorithm for Reed-Solomon codes. Tech. Rep., IPN Progress Report
    • McEliece, R.J., 2003. The Guruswami-Sudan decoding algorithm for Reed-Solomon codes. Tech. Rep., IPN Progress Report
  • 11
    • 0000333743 scopus 로고    scopus 로고
    • Decoding Reed-Solomon codes beyond half the minimum distance
    • Buchmann J., Høholdt T., Stichtenoth H., and Tapia-Recillas H. (Eds), Springer
    • Nielsen R.R., and Høholdt T. Decoding Reed-Solomon codes beyond half the minimum distance. In: Buchmann J., Høholdt T., Stichtenoth H., and Tapia-Recillas H. (Eds). Coding Theory, Cryptography and Related Areas (2000), Springer 221-236
    • (2000) Coding Theory, Cryptography and Related Areas , pp. 221-236
    • Nielsen, R.R.1    Høholdt, T.2
  • 12
    • 0010185809 scopus 로고    scopus 로고
    • Gröbner basis solutions of constrained interpolation problems
    • O'Keeffe H., and Fitzpatrick P. Gröbner basis solutions of constrained interpolation problems. Linear Algebra Appl. 351-352 (2002) 533-551
    • (2002) Linear Algebra Appl. , vol.351-352 , pp. 533-551
    • O'Keeffe, H.1    Fitzpatrick, P.2
  • 13
    • 0031097176 scopus 로고    scopus 로고
    • Decoding of Reed-Solomon codes beyond the error-correction bound
    • Sudan M. Decoding of Reed-Solomon codes beyond the error-correction bound. J. Complexity 13 1 (1997) 180-193
    • (1997) J. Complexity , vol.13 , Issue.1 , pp. 180-193
    • Sudan, M.1
  • 14
    • 42649096971 scopus 로고    scopus 로고
    • Welch, L., Berlekamp, E., 1986. Error correction for algebraic block codes. U. S. Patent 4 633 470, issued Dec. 30
    • Welch, L., Berlekamp, E., 1986. Error correction for algebraic block codes. U. S. Patent 4 633 470, issued Dec. 30


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.