There Is No Binary [35, 10, 13] Code.
Saved in:
| Title: | There Is No Binary [35, 10, 13] Code. |
|---|---|
| Authors: | Tjhai, Cen J., Tomlinson, Martin, Grassl, Markus |
| Source: | IEEE Transactions on Information Theory; Sep2011, Vol. 57 Issue 9, p6094-6096, 3p |
| Subject Terms: | BINARY number system, CODING theory, LINEAR systems, ISOMORPHISM (Mathematics), INFORMATION theory, MATHEMATICAL analysis |
| Abstract: | It is shown that the generator matrix of a putative linear binary code [36, 10, 14] contains the generator matrix of a [32, 7, 14] or a [33, 8, 14] binary linear code. In a first step, all nonisomorphic [32, 7, 14] and [33, 8, 14] binary codes are enumerated. Then it is shown that none of these codes yields a [35, 10, 13] linear binary code. [ABSTRACT FROM AUTHOR] |
| Copyright of IEEE Transactions on Information Theory is the property of IEEE and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Complementary Index |
Full Text Finder 
Nájsť tento článok vo Web of Science Be the first to leave a comment!