| Paper ID | D1-S7-T2.2 |
| Paper Title |
Extended Cyclic Codes Sandwiched Between Reed-Muller Codes |
| Authors |
Changjiang Ji, Yan Xu, Sihuang Hu, Shandong University, China |
| Session |
D1-S7-T2: Algebraic Codes |
| Chaired Session: |
Tuesday, 13 July, 00:00 - 00:20 |
| Engagement Session: |
Tuesday, 13 July, 00:20 - 00:40 |
| Abstract |
The famous Barnes-Wall lattices can be obtained by applying Construction D to a chain of Reed-Muller codes. By applying Construction $D^{(cyc)}$ to a chain of extended cyclic codes sandwiched between Reed-Muller codes, Hu and Nebe (J. London Math. Soc. (2) 101 (2020) 1068-1089) constructed new series of universally strongly perfect lattices sandwiched between Barnes-Wall lattices. In this paper, we explicitly determine the minimum weight codewords of those codes for some special cases.
|
