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Volumn 13, Issue 3, 2002, Pages 209-232

The Chen-Reed-Helleseth-Truong decoding algorithm and the Gianni-Kalkbrenner Gröbner shape theorem

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CODES (SYMBOLS); POLYNOMIALS; THEOREM PROVING;

EID: 0036745622     PISSN: 09381279     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002000200097     Document Type: Article
Times cited : (17)

References (13)
  • 2
    • 4243471745 scopus 로고    scopus 로고
    • Some notes on solving polynomial equation systems over a finite field
    • Draft
    • Caboara, M., Mora, T.: Some notes on solving polynomial equation systems over a finite field, Draft (2002)
    • (2002)
    • Caboara, M.1    Mora, T.2
  • 3
    • 4244188881 scopus 로고    scopus 로고
    • Fast decoding of cyclic codes via the syndrome variety
    • Preprint
    • Caboara, M., Mora, T., Sala, M.: Fast decoding of cyclic codes via the syndrome variety, Preprint (2002)
    • (2002)
    • Caboara, M.1    Mora, T.2    Sala, M.3
  • 4
    • 0001460846 scopus 로고
    • Algebraic decoding of cyclic codes: A polynomial ideal point of view
    • Chen, X., Reed, I. S., Helleseth, T., Truong, T. K.: Algebraic Decoding of Cyclic Codes: a Polynomial Ideal Point of View, Cont. Math., 168, 15-22 (1994)
    • (1994) Cont. Math. , vol.168 , pp. 15-22
    • Chen, X.1    Reed, I.S.2    Helleseth, T.3    Truong, T.K.4
  • 5
    • 25944479355 scopus 로고
    • Efficient computation of zero-dimensional Gröbner bases by change of ordering
    • Faugère, J. C., Gianni, P., Lazard, D., Mora, T.: Efficient computation of zero-dimensional Gröbner bases by change of ordering, Journal of Symbolic Computation, 16(4), 329-344 (1993)
    • (1993) Journal of Symbolic Computation , vol.16 , Issue.4 , pp. 329-344
    • Faugère, J.C.1    Gianni, P.2    Lazard, D.3    Mora, T.4
  • 7
    • 85033721578 scopus 로고
    • Properties of Gröbner bases under specialization
    • Berlin, Heidelberg, New York: Springer
    • Gianni, P.: Properties of Gröbner Bases under Specialization, Lect. N. Comp. Sci. 378, pp. 293-297. Berlin, Heidelberg, New York: Springer, 1989
    • (1989) Lect. N. Comp. Sci. , vol.378 , pp. 293-297
    • Gianni, P.1
  • 8
    • 85033676092 scopus 로고
    • Solving systems of algebraic equations using Gröbner bases
    • Berlin, Heidelberg, New York: Springer
    • Kalkbrenner, M.: Solving Systems of Algebraic Equations Using Gröbner Bases, Lect. N. Comp. Sci. 378, pp. 282-292, Berlin, Heidelberg, New York: Springer, 1989
    • (1989) Lect. N. Comp. Sci. , vol.378 , pp. 282-292
    • Kalkbrenner, M.1
  • 9
    • 85008925874 scopus 로고
    • Ideal bases and primary decomposition: Case of two variables
    • Lazard, D.: Ideal bases and Primary Decomposition: Case of two Variables. J. Symb. Comp., 1, 261-270 (1985)
    • (1985) J. Symb. Comp. , vol.1 , pp. 261-270
    • Lazard, D.1
  • 10
    • 0031383630 scopus 로고    scopus 로고
    • On the decoding of cyclic codes using Gröbner bases
    • Loustaunau, P., York, E. V.: On the Decoding of Cyclic Codes Using Gröbner Bases. J. AAECC, 8, 469-483 (1997)
    • (1997) J. AAECC , vol.8 , pp. 469-483
    • Loustaunau, P.1    York, E.V.2
  • 13
    • 0001782079 scopus 로고    scopus 로고
    • Involutive approach to solving systems of algebraic equations
    • Zharkov, A. Yu., Blinkov, Yu. A.: Involutive approach to solving systems of algebraic equations, Proc. IMACS '93, 11-16
    • Proc. IMACS '93 , pp. 11-16
    • Zharkov, A.Yu.1    Blinkov, Yu.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.