On the automorphisms of order 2 with fixed points for the extremal self-dual codes of length 24m


Буюклиева, Стефка (2002) On the automorphisms of order 2 with fixed points for the extremal self-dual codes of length 24m Designs, Codes and Cryptography, vol.25, pp. 5-13. Print ISSN 0925-1022


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Природни науки, математика и информатика
Природни науки, математика и информатика Математика

Natural sciences, mathematics and informatics
Natural sciences, mathematics and informatics Mathematics

 Издадено
  1693
 Стефка Буюклиева

18. Eisenbarth, Simon, and Gabriele Nebe. "Self-dual codes over chain rings." Mathematics in Computer Science (2019): 1-14.

17. Martino Borello and Javier de la Cruz. Some new results on the self-dual [120,60,24] code. Finite Fields and Their Applications, 2018, 50, pp. 17--34. Print ISSN 1071-5797

16. Dougherty, S.T., Gildea, J., Taylor, R. et al. Group rings, G-codes and constructions of self-dual and formally self-dual codes, Des. Codes Cryptogr. (2017).

13. Dougherty, Steven, Jon-Lark Kim, and Patrick Solé. "Open Problems in Coding Theory." Noncommutative Rings and Their Applications 634 (2015): 79.

14. Javier de la Cruz. On extremal self-dual codes of length 120. Designs, Codes and Cryptography, 2015, 75, pp. 243--252. Print ISSN 0925-1022

15. Martino Borello and Gabriele Nebe. On involutions in extremal self-dual codes and the dual distance of semi self-dual codes. Finite Fields and Their Applications, 2015, 33, pp. 80--89. Print ISSN 1071-5797

12. Martino Borello. The automorphism group of a self-dual [72,36,16] code is not an elementary abelian group of order 8. Finite Fields and Their Applications, 2014, 25, pp. 1--7. Print ISSN 1071-5797

10. M. Borello, F. Volta and G. Nebe. The automorphism group of a self-dual [72,36,16] code does not contain S_3, A_4, or D_8. Advances in Mathematics of Communications, 2013, 7, pp. 503--510. Print ISSN 1930-5346

11. Martino Borello and Wolfgang Willems. Automorphisms of Order 2p in Binary Self-Dual Extremal Codes of Length a Multiple of 24. IEEE Transactions on Information Theory, 2013, 59, pp. 3378--3383. Print ISSN 0018-9448

6. Anton Malevich, ”Extremal self-dual codes”, PhD Thesis, Otto-von-Guericke University, Magdeburg, defended on 22.10.2012.

7. Gabriele Nebe. An extremal [72,36,16] binary code has no automorphism group containing Z_2xZ_4, Q_8, or Z_10. Finite Fields and Their Applications, 2012, 18, pp. 563-566. Print ISSN 1071-5797

8. Martino Borello. The automorphism group of a self-dual [72,36,16] binary code does not contain elements of order 6. IEEE Transactions on Information Theory, 2012, 58, pp. 7240--7245. Print ISSN 0018-9448

9. Thomas Feulner and Gabriele Nebe. The automorphism group of an extremal [72,36,16] code does not contain Z_7, Z_3xZ_3, or D_10. IEEE Transactions on Information Theory, 2012, 58, pp. 6916--6924. Print ISSN 0018-9448

5. Javier de la Cruz and Wolfgang Willems. On Extremal Self-Dual Codes of Length 96. IEEE Transactions on Information Theory, 2011, 57, pp. 6820--6823. Print ISSN 0018-9448

3. G. Nebe, E. Rains and N.J.A. Sloane. Self-Dual Codes and Invariant Theory. Springer, Berlin, Heidelberg, 2006, 430 pp. Print ISBN 978-3-540-30729-7, Online ISBN 978-3-540-30731-0.

4. V. Yorgov, On the automorphism group of a putative code. IEEE Transactions on Information Theory, 2006, 52, pp. 1724--1726. Print ISSN 0018-9448

2. W.C. Huffman, On the classification and enumeration of self-dual codes. Finite Fields and Their Applications, 2005, 11, pp. 451-490. Print ISSN 1071-5797

1. R. Dontcheva, A. J. van Zanten and S. Dodunekov. Binary self-dual codes with automorphisms of composite order, IEEE Transactions on Information Theory, vol. 50, pp. 311--318, 2004. Print ISSN 0018-9448

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