메뉴 건너뛰기




Volumn 113, Issue 7, 2006, Pages 1351-1367

On the classification of all self-dual additive codes over GF(4) of length up to 12

Author keywords

Graphs; Local complementation; Self dual codes

Indexed keywords


EID: 33746601905     PISSN: 00973165     EISSN: 10960899     Source Type: Journal    
DOI: 10.1016/j.jcta.2005.12.004     Document Type: Article
Times cited : (73)

References (26)
  • 2
    • 0040543016 scopus 로고
    • Isotropic systems
    • Bouchet A. Isotropic systems. European J. Combin. 8 3 (1987) 231-244
    • (1987) European J. Combin. , vol.8 , Issue.3 , pp. 231-244
    • Bouchet, A.1
  • 3
    • 38249028150 scopus 로고
    • Graphic presentations of isotropic systems
    • Bouchet A. Graphic presentations of isotropic systems. J. Combin. Theory Ser. B 45 1 (1988) 58-76
    • (1988) J. Combin. Theory Ser. B , vol.45 , Issue.1 , pp. 58-76
    • Bouchet, A.1
  • 7
    • 33745283451 scopus 로고    scopus 로고
    • Master's thesis, Department of Informatics, University of Bergen, Norway, March, 2005. quant-ph/0503236
    • Danielsen L.E. On self-dual quantum codes, graphs, and Boolean functions. Master's thesis, Department of Informatics, University of Bergen, Norway, March, 2005. quant-ph/0503236
    • On self-dual quantum codes, graphs, and Boolean functions
    • Danielsen, L.E.1
  • 8
    • 24944509529 scopus 로고    scopus 로고
    • n transform
    • Sequences and Their Applications-SETA 2004, Springer-Verlag, Berlin. cs.IT/0504102
    • n transform. Sequences and Their Applications-SETA 2004. Lecture Notes in Comput. Sci. vol. 3486 (2005), Springer-Verlag, Berlin 373-388. cs.IT/0504102
    • (2005) Lecture Notes in Comput. Sci. , vol.3486 , pp. 373-388
    • Danielsen, L.E.1    Parker, M.G.2
  • 9
    • 33746608106 scopus 로고    scopus 로고
    • P. Gaborit, W.C. Huffman, J.-L. Kim, V. Pless, On the classification of extremal additive codes over GF(4), in: Proc. of the 37th Allerton Conference on Communication, Control, and Computing, University of Illinois at Urbana-Champaign, 1999, pp. 535-544
  • 11
    • 33746648671 scopus 로고    scopus 로고
    • D.G. Glynn, On self-dual quantum codes and graphs, Electron. J. Combin. (2002), submitted for publication
  • 12
    • 33746599035 scopus 로고    scopus 로고
    • D.G. Glynn, T.A. Gulliver, J.G. Maks, M.K. Gupta, The geometry of additive quantum codes, Springer-Verlag, 2004, submitted for publication
  • 13
    • 0036354269 scopus 로고    scopus 로고
    • M. Grassl, A. Klappenecker, M. Rötteler, Graphs, quadratic forms, and quantum codes, in: Proc. IEEE Int. Symp. Inform. Theory, ISIT 2002, 2002, p. 45
  • 14
    • 3142782717 scopus 로고    scopus 로고
    • Multi-party entanglement in graph states
    • quant-ph/0307130
    • Hein M., Eisert J., and Briegel H.J. Multi-party entanglement in graph states. Phys. Rev. A 69 6 (2004) 062311. quant-ph/0307130
    • (2004) Phys. Rev. A , vol.69 , Issue.6 , pp. 062311
    • Hein, M.1    Eisert, J.2    Briegel, H.J.3
  • 15
    • 23044508855 scopus 로고    scopus 로고
    • On the classification and enumeration of self-dual codes
    • Huffman W.C. On the classification and enumeration of self-dual codes. Finite Fields Appl. 11 3 (2005) 451-490
    • (2005) Finite Fields Appl. , vol.11 , Issue.3 , pp. 451-490
    • Huffman, W.C.1
  • 16
    • 0242339646 scopus 로고    scopus 로고
    • Self-dual codes over the Kleinian four group
    • math.CO/0005266
    • Höhn G. Self-dual codes over the Kleinian four group. Math. Ann. 327 2 (2003) 227-255. math.CO/0005266
    • (2003) Math. Ann. , vol.327 , Issue.2 , pp. 227-255
    • Höhn, G.1
  • 17
    • 0242610788 scopus 로고    scopus 로고
    • Projections of binary linear codes onto larger fields
    • Kim J.-L., Mellinger K.E., and Pless V. Projections of binary linear codes onto larger fields. SIAM J. Discrete Math. 16 4 (2003) 591-603
    • (2003) SIAM J. Discrete Math. , vol.16 , Issue.4 , pp. 591-603
    • Kim, J.-L.1    Mellinger, K.E.2    Pless, V.3
  • 19
    • 0002386608 scopus 로고    scopus 로고
    • Self-dual codes
    • North-Holland, Amsterdam. math.CO/0208001
    • Rains E.M., and Sloane N.J.A. Self-dual codes. Handbook of Coding Theory (1998), North-Holland, Amsterdam 177-294. math.CO/0208001
    • (1998) Handbook of Coding Theory , pp. 177-294
    • Rains, E.M.1    Sloane, N.J.A.2
  • 20
    • 0242634028 scopus 로고    scopus 로고
    • Stabilizer codes can be realized as graph codes
    • quant-ph/0111080
    • Schlingemann D. Stabilizer codes can be realized as graph codes. Quantum Inf. Comput. 2 4 (2002) 307-323. quant-ph/0111080
    • (2002) Quantum Inf. Comput. , vol.2 , Issue.4 , pp. 307-323
    • Schlingemann, D.1
  • 21
    • 0036149982 scopus 로고    scopus 로고
    • Quantum error-correcting codes associated with graphs
    • quant-ph/0012111
    • Schlingemann D., and Werner R.F. Quantum error-correcting codes associated with graphs. Phys. Rev. A 65 1 (2002) 012308. quant-ph/0012111
    • (2002) Phys. Rev. A , vol.65 , Issue.1 , pp. 012308
    • Schlingemann, D.1    Werner, R.F.2
  • 24
    • 33646132558 scopus 로고    scopus 로고
    • Error-correcting codes from graphs
    • Tonchev V.D. Error-correcting codes from graphs. Discrete Math. 257 2-3 (2002) 549-557
    • (2002) Discrete Math. , vol.257 , Issue.2-3 , pp. 549-557
    • Tonchev, V.D.1
  • 25
    • 33746660248 scopus 로고    scopus 로고
    • M. Van den Nest, Local equivalence of stabilizer states and codes, PhD thesis, K.U. Leuven, Leuven, Belgium, May 2005
  • 26
    • 1942443839 scopus 로고    scopus 로고
    • Graphical description of the action of local Clifford transformations on graph states
    • quant-ph/0308151
    • Van den Nest M., Dehaene J., and De Moor B. Graphical description of the action of local Clifford transformations on graph states. Phys. Rev. A 69 2 (2004) 022316. quant-ph/0308151
    • (2004) Phys. Rev. A , vol.69 , Issue.2 , pp. 022316
    • Van den Nest, M.1    Dehaene, J.2    De Moor, B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.