Abstract
We present construction methods for free self-orthogonal (self-dual or Type II) codes over Z4[v]=hv2 + 2vi which is one of the finite commutative local non-chain Frobenius rings of order 16. By considering their Gray images on Z4, we give a construct method for a code over Z4. We have some new and optimal codes over Z4 with respect to the minimum Lee weight or minimum Euclidean weight.
Original language | English |
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Pages (from-to) | 193-204 |
Number of pages | 12 |
Journal | Journal of the Korean Mathematical Society |
Volume | 59 |
Issue number | 1 |
DOIs | |
State | Published - 2022 |
Keywords
- Code over Z4
- Frobenius ring
- Non-chain ring
- Optimal code
- Self-orthogonal code