Canonization of linear codes over $\mathbb Z$4
Pages: 245 - 266,
Volume 5,
Issue 2,
May 2011
doi:10.3934/amc.2011.5.245 Abstract
References
Full text (509.6K)
Related Articles
Thomas Feulner - Department of Mathematics, University of Bayreuth, 95440 Bayreuth, Germany (email)
| 1 |
A. Betten, M. Braun, H. Fripertinger, A. Kerber, A. Kohnert and A. Wassermann, "Error-Correcting Linear Codes, Classification by Isometry and Applications,'' Springer, Berlin, 2006. |
|
| 2 |
T. Feulner, The automorphism groups of linear codes and canonical representatives of their semilinear isometry classes, Adv. Math. Commun., 3 (2009), 363-383. |
|
| 3 |
A. R. Hammons Jr., P. V. Kumar, A. R. Calderbank, N. J. A. Sloane and P. Solé, The $\mathbbZ_4$-linearity of Kerdock, Preperata, Goethals and related codes, IEEE Trans. Inform. Theory, 40 (1994), 301-319. |
|
| 4 |
T. Honold and I. Landjev, Linear codes over finite chain rings, Electron. J. Comb., 7 (1998), 116-126. |
|
| 5 |
W. C. Huffman and V. Pless, "Fundamentals of Error-Correcting Codes,'' Cambridge University Press, Cambridge, 2003. |
|
| 6 |
M. Kiermaier and J. Zwanzger, A $\mathbbZ_4$-linear code of high minimum Lee distance derived from a hyperoval, Adv. Math. Commun., 5 (2011), 275-286. |
|
| 7 |
R. Laue, Constructing objects up to isomorphism, simple 9-designs with small parameters, in "Algebraic Combinatorics and Applications,'' Springer, (2001), 232-260. |
|
| 8 |
J. S. Leon, Computing automorphism groups of error-correcting codes, IEEE Trans. Inform. Theory, 28 (1982), 496-511. |
|
| 9 |
B. D. McKay, Isomorph-free exhaustive generation, J. Algorithms, 26 (1998), 306-324. |
|
| 10 |
A. A. Nechaev, Kerdock's code in cyclic form, Diskret. Mat., 1 (1989), 123-139. |
|
| 11 |
E. Petrank and R. M. Roth, Is code equivalence easy to decide?, IEEE Trans. Inform. Theory, 43 (1997), 1602-1604. |
|
| 12 |
C. C. Sims, Computation with permutation groups, in "Proceedings of the Second ACM Symposium on Symbolic and Algebraic Manipulation, SYMSAC '71,'' (1971), 23-28. |
|
Go to top
|