Decompositions of edge-colored digraphs : a new technique in the construction of constant-weight codes and related families
We demonstrate that certain Johnson-type bounds are asymptotically exact for a variety of classes of codes, namely, constant-composition codes, nonbinary constant-weight codes, group divisible codes, and multiply constant-weight codes. We achieve this via an application of the theory of decompositio...
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sg-ntu-dr.10356-862522023-02-28T19:31:54Z Decompositions of edge-colored digraphs : a new technique in the construction of constant-weight codes and related families Chee, Yeow Meng Gao, Fei Kiah, Han Mao Zhang, Hui Zhang, Xiande Ling, Alan Chi Hung School of Physical and Mathematical Sciences Edge-colored Digraphs Constant-weight Codes Science::Physics We demonstrate that certain Johnson-type bounds are asymptotically exact for a variety of classes of codes, namely, constant-composition codes, nonbinary constant-weight codes, group divisible codes, and multiply constant-weight codes. We achieve this via an application of the theory of decomposition of edge-colored digraphs. MOE (Min. of Education, S’pore) Published version 2019-07-11T03:02:31Z 2019-12-06T16:18:56Z 2019-07-11T03:02:31Z 2019-12-06T16:18:56Z 2019 Journal Article Chee, Y. M., Gao, F., Kiah, H. M., Ling, A. C. H., Zhang, H., & Zhang, X. (2019). Decompositions of Edge-Colored Digraphs : A New Technique in the Construction of Constant-Weight Codes and Related Families. SIAM Journal on Discrete Mathematics, 33(1), 209-229. doi:10.1137/17M1136171 0895-4801 https://hdl.handle.net/10356/86252 http://hdl.handle.net/10220/49277 10.1137/17M1136171 en SIAM Journal on Discrete Mathematics © 2019 SIAM. All rights reserved. This paper was published in SIAM Journal on Discrete Mathematics and is made available with permission of SIAM. 21 p. application/pdf |
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Edge-colored Digraphs Constant-weight Codes Science::Physics |
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Edge-colored Digraphs Constant-weight Codes Science::Physics Chee, Yeow Meng Gao, Fei Kiah, Han Mao Zhang, Hui Zhang, Xiande Ling, Alan Chi Hung Decompositions of edge-colored digraphs : a new technique in the construction of constant-weight codes and related families |
| description |
We demonstrate that certain Johnson-type bounds are asymptotically exact for a variety of classes of codes, namely, constant-composition codes, nonbinary constant-weight codes, group divisible codes, and multiply constant-weight codes. We achieve this via an application of the theory of decomposition of edge-colored digraphs. |
| author2 |
School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Chee, Yeow Meng Gao, Fei Kiah, Han Mao Zhang, Hui Zhang, Xiande Ling, Alan Chi Hung |
| format |
Article |
| author |
Chee, Yeow Meng Gao, Fei Kiah, Han Mao Zhang, Hui Zhang, Xiande Ling, Alan Chi Hung |
| author_sort |
Chee, Yeow Meng |
| title |
Decompositions of edge-colored digraphs : a new technique in the construction of constant-weight codes and related families |
| title_short |
Decompositions of edge-colored digraphs : a new technique in the construction of constant-weight codes and related families |
| title_full |
Decompositions of edge-colored digraphs : a new technique in the construction of constant-weight codes and related families |
| title_fullStr |
Decompositions of edge-colored digraphs : a new technique in the construction of constant-weight codes and related families |
| title_full_unstemmed |
Decompositions of edge-colored digraphs : a new technique in the construction of constant-weight codes and related families |
| title_sort |
decompositions of edge-colored digraphs : a new technique in the construction of constant-weight codes and related families |
| publishDate |
2019 |
| url |
https://hdl.handle.net/10356/86252 http://hdl.handle.net/10220/49277 |
| _version_ |
1759853872453517312 |