|
|||||
|
|
An Assmus–Mattson-Type Approach for Identifying 3-Designs from Linear Codes over Z 4 |
|
| Authors: | Dong-Joon Shin P Vijay Kumar Tor Helleseth |
| Institution: | (1) Department of Electrical and Computer Engineering, Hanyang University, Haengdang Dong 17, Seong-Dong Gu, Seoul, Korea;(2) Communication Sciences Institute, EE-Systems, University of Southern California, Los Angeles, CA 90089-2565, USA;(3) Department of Informatics, University of Bergen, N-5020 Bergen, Norway |
| Abstract: | The complete weight enumerator of the Delsarte–Goethals code over Z 4 is derived and an Assmus–Mattson-type approach at identifying t-designs in linear codes over Z 4 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 Z 4 as well as the Delsarte–Goethals code over Z 4 yield 3-designs, possibly with repeated blocks. |
| Keywords: | t-designs Z 4 codes Assmus– Mattson complete weight enumerator |
| 本文献已被 SpringerLink 等数据库收录！ | |