Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Jeffrey S. Leon"'
Publikováno v:
IEEE Transactions on Information Theory. 44:311-322
We classify the self-dual Z/sub 4/ codes of all lengths from 10 through 15, extending the previous classification through length 9.
Publikováno v:
Journal of Combinatorial Theory, Series A. 78:32-50
We show that there are 133 inequivalent Type II codes over Z4of length 16. We give the number of each type 4i·2j, where 2i+j=16, a generator matrix for each code, the order of its automorphism group, and its minimum Lee weight. A (partial) symmetriz
Autor:
Jeffrey S. Leon
Publikováno v:
Journal of Symbolic Computation. 12(4-5):533-583
A technique for computing in permutation groups of high degree is developed. The technique uses the idea of successive refinement of ordered partitions, introduced by B. McKay in connection with the graph isomorphism problem, to supplement the techni
Autor:
Jeffrey S. Leon
Publikováno v:
EUROSAM 84 ISBN: 354013350X
EUROSAM
EUROSAM
In recent years, computers have come to play an increasingly important role in research in many fields of mathematics, including combinatorics and algebra. They have been used in constructing large combinatorial objects or in proving their nonexisten
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::88fd8cef598a644f937e871c449e287b
https://doi.org/10.1007/bfb0032844
https://doi.org/10.1007/bfb0032844
Publikováno v:
Proceedings of IEEE International Symposium on Information Theory.
Using a new computer algorithm that determines the automorphism group of a Z/sub 4/ code, and efficient ways to find generator matrices of Type II codes, we show that there are 133 inequivalent Type II Z/sub 4/ codes of length 16.
Publikováno v:
IEEE Transactions on Information Theory. 39:214-215
J.H. Conway and N.J.A. Sloane (see ibid., vol.36, no.6, p.1319-33, Nov. 1990) give weight enumerators of several self-dual codes with the highest possible minimal distance whose existence was not known. A generator matrix for one of these, a Type I (
Autor:
Jeffrey S. Leon
Publikováno v:
Journal of Algebra. 49:46-62
Autor:
David B. Wales, Jeffrey S. Leon
Publikováno v:
Journal of Algebra. 29:246-254
Publikováno v:
Journal of Combinatorial Theory, Series A. 31:66-93
Recently the authors completed the classification of 3-(24, 12, 5) designs up to isomorphism. These designs are closely related to 24-dimensional Hadamard matrices, and the work on designs leads to a classification of the matrices up to equivalence.
Publikováno v:
IEEE Transactions on Information Theory. 27:176-180
A partial classification is given of the self-dual codes of length 24 over GF (3). The main results are as follows: there are exactly two codes with minimum Hamming distance d=9 ; most of the codes have d=6 and are indecomposable; one code with d=6 h