Shin, Dong-Joon ; Vijay Kumar, P. ; Helleseth, Tor (2004) An assmus–mattson-type approach for identifying 3-designs from linear codes over Z4 Designs, Codes and Cryptography, 31 (1). pp. 75-92. ISSN 0925-1022
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Official URL: https://link.springer.com/article/10.1023/A%3A1027...
Related URL: http://dx.doi.org/10.1023/A:1027338603957
Abstract
The complete weight enumerator of the Delsarte–Goethals code over Z4 is derived and an Assmus–Mattson-type approach at identifying t-designs in linear codes over Z4 is presented. The Assmus–Mattson-type approach, in conjunction with the complete weight enumerator are together used to show that the codewords of constant Hamming weight in both the Goethals code over Z4 as well as the Delsarte–Goethals code over Z4 yield 3-designs, possibly with repeated blocks.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer Verlag. |
| Keywords: | t-designs; Z4 Codes; Assmus–Mattson; Complete Weight Enumerator |
| ID Code: | 110184 |
| Deposited On: | 31 Jan 2018 10:15 |
| Last Modified: | 31 Jan 2018 10:15 |
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