메뉴 건너뛰기




Volumn 50, Issue 3, 2004, Pages 544-547

On the automorphism group of a doubly-even (72, 36, 16) code

Author keywords

Automorphism group; Doubly even codes; Self dual codes

Indexed keywords

MATRIX ALGEBRA; POLYNOMIALS; THEOREM PROVING; VECTORS;

EID: 1842429188     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2004.825252     Document Type: Letter
Times cited : (12)

References (13)
  • 2
    • 31244435865 scopus 로고    scopus 로고
    • On the automorphisms of order 2 with fixed points for the extremal self-dual codes of length 24 m
    • S. Bouyukieva, "On the automorphisms of order 2 with fixed points for the extremal self-dual codes of length 24 m," Des., Codes Cryptogr., vol. 25, pp. 5-13, 2002.
    • (2002) Des., Codes Cryptogr. , vol.25 , pp. 5-13
    • Bouyukieva, S.1
  • 3
    • 23044487100 scopus 로고
    • On primes dividing the group order of a doubly-even (72,36,16) code and the group order of a quaternary (24,12,10) code
    • J. H. Conway and V. Pless, "On primes dividing the group order of a doubly-even (72,36,16) code and the group order of a quaternary (24,12,10) code," Descr. Math., vol. 38, pp. 143-156, 1982.
    • (1982) Descr. Math. , vol.38 , pp. 143-156
    • Conway, J.H.1    Pless, V.2
  • 4
    • 0041038103 scopus 로고
    • On the enumeration of self-dual codes
    • J. H. Conway and V. Pless, "On the enumeration of self-dual codes," J. Comb. Theory, Ser. A, vol. 28, pp. 26-53, 1980.
    • (1980) J. Comb. Theory, Ser. A , vol.28 , pp. 26-53
    • Conway, J.H.1    Pless, V.2
  • 5
    • 0037265448 scopus 로고    scopus 로고
    • The extended quadratic residue code is the only (48,24,12) self-dual doubly-even code
    • Jan.
    • S. H. Houghten, C. W. H. Lam, L. H. Thiel, and J. A. Parker, "The extended quadratic residue code is the only (48,24,12) self-dual doubly-even code," IEEE Trans. Inform. Theory, vol. 49, pp. 53-59, Jan. 2003.
    • (2003) IEEE Trans. Inform. Theory , vol.49 , pp. 53-59
    • Houghten, S.H.1    Lam, C.W.H.2    Thiel, L.H.3    Parker, J.A.4
  • 6
    • 0020126745 scopus 로고
    • Automorphisms of codes with application to extremal doubly-even codes of length 48
    • May
    • W. C. Huffman, "Automorphisms of codes with application to extremal doubly-even codes of length 48," IEEE Trans. Inform. Theory, vol. IT-28, pp. 511-521, May 1982.
    • (1982) IEEE Trans. Inform. Theory , vol.IT-28 , pp. 511-521
    • Huffman, W.C.1
  • 7
    • 0023418656 scopus 로고
    • A (72,36,16) doubly-even code does not have an automorphism of order 11
    • Sept.
    • W. C. Huffman and V. Yorgov, "A (72,36,16) doubly-even code does not have an automorphism of order 11," IEEE Trans. Inform. Theory, vol. IT-33, pp. 749-752, Sept. 1987.
    • (1987) IEEE Trans. Inform. Theory , vol.IT-33 , pp. 749-752
    • Huffman, W.C.1    Yorgov, V.2
  • 8
    • 0025483055 scopus 로고
    • There is no (24,12,10) self-dual quaternary code
    • Sept.
    • C. W. H. Lam and V. Pless, "There is no (24,12,10) self-dual quaternary code," IEEE Trans. Inform. Theory, vol. 36, pp. 1153-1156, Sept. 1990.
    • (1990) IEEE Trans. Inform. Theory , vol.36 , pp. 1153-1156
    • Lam, C.W.H.1    Pless, V.2
  • 9
    • 0019344837 scopus 로고
    • 23 does not divide the order of the group of a (72,36,16) doubly-even code
    • Jan.
    • V. Pless, "23 does not divide the order of the group of a (72,36,16) doubly-even code," IEEE Trans. Inform. Theory, vol. IT-28, pp. 113-117, Jan. 1982.
    • (1982) IEEE Trans. Inform. Theory , vol.IT-28 , pp. 113-117
    • Pless, V.1
  • 10
    • 0019010834 scopus 로고
    • Ternary codes of minimum weight 6 and the classification of the self-dual codes of length 20
    • May
    • V. Pless, N. J. A. Sloane, and H. N. Ward, "Ternary codes of minimum weight 6 and the classification of the self-dual codes of length 20," IEEE Trans. Inform. Theory, vol. IT-26, pp. 305-316, May 1980.
    • (1980) IEEE Trans. Inform. Theory , vol.IT-26 , pp. 305-316
    • Pless, V.1    Sloane, N.J.A.2    Ward, H.N.3
  • 11
    • 0020127070 scopus 로고
    • 17 does not divide the order of the group of a (72,36,16) doubly-even code
    • May
    • V. Pless and J. G. Thompson, "17 does not divide the order of the group of a (72,36,16) doubly-even code," IEEE Trans. Inform. Theory, vol. IT-28, pp. 537-541, May 1982.
    • (1982) IEEE Trans. Inform. Theory , vol.IT-28 , pp. 537-541
    • Pless, V.1    Thompson, J.G.2
  • 12
    • 26144453994 scopus 로고    scopus 로고
    • On the automorphism group of binary self-dual codes of length 72
    • Technical Reports in Computer Science, Universiteit Maastricht, Rep. CS 02-06
    • A. J. van Zanten, R. Dontcheva, and S. M. Dodunekov, "On the Automorphism group of binary self-dual codes of length 72," Technical Reports in Computer Science, Universiteit Maastricht, Rep. CS 02-06, 2002.
    • (2002)
    • Van Zanten, A.J.1    Dontcheva, R.2    Dodunekov, S.M.3
  • 13
    • 0023170073 scopus 로고
    • A method for constructing inequivalent self-dual codes with applications to length 56
    • Jan.
    • V. Y. Yorgov, "A method for constructing inequivalent self-dual codes with applications to length 56," IEEE Trans. Inform. Theory, vol. IT-33, pp. 77-82, Jan. 1987.
    • (1987) IEEE Trans. Inform. Theory , vol.IT-33 , pp. 77-82
    • Yorgov, V.Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.