메뉴 건너뛰기




Volumn 54, Issue 5, 2008, Pages 2303-2316

Linear network codes and systems of polynomial equations

Author keywords

Flow; Information theory; Matroids; Network coding; Polynomial equations

Indexed keywords

COMPUTATIONAL METHODS; ENCODING (SYMBOLS); INFORMATION THEORY; SET THEORY;

EID: 43749120734     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2008.920209     Document Type: Article
Times cited : (40)

References (25)
  • 1
    • 0037340943 scopus 로고    scopus 로고
    • An algorithm to compute the set of characteristics of a system of polynomial equations over the integers
    • R. Baines and P. Vámos, "An algorithm to compute the set of characteristics of a system of polynomial equations over the integers." J. Symb. Comput., vol. 35, pp. 269-279, 2003.
    • (2003) J. Symb. Comput , vol.35 , pp. 269-279
    • Baines, R.1    Vámos, P.2
  • 4
    • 0001739587 scopus 로고
    • Hilbert's tenth problem is unsolvable
    • M. Davis, "Hilbert's tenth problem is unsolvable," Amer. Math. Monthly, vol. 80, pp. 233-269, 1973.
    • (1973) Amer. Math. Monthly , vol.80 , pp. 233-269
    • Davis, M.1
  • 5
    • 5144221410 scopus 로고    scopus 로고
    • Linearity and solvability in multicast networks
    • Oct
    • R. Dougherty, C. Freiling, and K. Zeger, "Linearity and solvability in multicast networks," IEEE Trans. Inf. Theory, vol. 50, no. 10, pp. 2243-2256, Oct. 2004.
    • (2004) IEEE Trans. Inf. Theory , vol.50 , Issue.10 , pp. 2243-2256
    • Dougherty, R.1    Freiling, C.2    Zeger, K.3
  • 6
    • 23844535205 scopus 로고    scopus 로고
    • Insufficiency of linear coding in network information flow
    • Aug
    • R. Dougherty, C. Freiling, and K. Zeger, "Insufficiency of linear coding in network information flow," IEEE Trans. Inf. Theory, vol. 51, no. 8, pp. 2745-2759, Aug. 2005.
    • (2005) IEEE Trans. Inf. Theory , vol.51 , Issue.8 , pp. 2745-2759
    • Dougherty, R.1    Freiling, C.2    Zeger, K.3
  • 8
    • 34249811774 scopus 로고    scopus 로고
    • Networks, matroids, and non-Shannon information inequalities
    • Jun
    • R. Dougherty, C. Freiling, and K. Zeger, "Networks, matroids, and non-Shannon information inequalities," IEEE Trans. Inf. Theory, vol. 53, no. 6, pp. 1949-1969, Jun. 2007.
    • (2007) IEEE Trans. Inf. Theory , vol.53 , Issue.6 , pp. 1949-1969
    • Dougherty, R.1    Freiling, C.2    Zeger, K.3
  • 9
    • 33750582797 scopus 로고    scopus 로고
    • Nonreversibility and equivalent constructions of multiple-unicast networks
    • Nov
    • R. Dougherty and K. Zeger, "Nonreversibility and equivalent constructions of multiple-unicast networks," IEEE Trans. Inf. Theory vol. 52, no. 11, pp. 5067-5077, Nov. 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.11 , pp. 5067-5077
    • Dougherty, R.1    Zeger, K.2
  • 11
    • 43749088778 scopus 로고    scopus 로고
    • C. Fragouli and E. Soljanin, Network Coding Fundamentals. Boston, MA: Now Publishers, 2007.
    • C. Fragouli and E. Soljanin, Network Coding Fundamentals. Boston, MA: Now Publishers, 2007.
  • 15
    • 0242334165 scopus 로고    scopus 로고
    • An algebraic approach to network coding
    • Oct
    • R. Koetter and M. Médard, "An algebraic approach to network coding," IEEE/ACM Trans. Netw., vol. 11, no. 5, pp. 782-795, Oct. 2003.
    • (2003) IEEE/ACM Trans. Netw , vol.11 , Issue.5 , pp. 782-795
    • Koetter, R.1    Médard, M.2
  • 17
    • 0001275487 scopus 로고
    • Some interpretations of abstract linear dependence in terms of projective geometry
    • Jan
    • S. MacLane, "Some interpretations of abstract linear dependence in terms of projective geometry," Amer. J. Math., vol. 58, no. 1, pp. 236-240, Jan. 1936.
    • (1936) Amer. J. Math , vol.58 , Issue.1 , pp. 236-240
    • MacLane, S.1
  • 20
    • 0004061262 scopus 로고
    • New York: Oxford Univ. Press
    • J. G. Oxley, Matroid Theory. New York: Oxford Univ. Press, 1992.
    • (1992) Matroid Theory
    • Oxley, J.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.