Information on Result #636836
Linear OA(4165, 210, F4, 83) (dual of [210, 45, 84]-code), using concatenation of two codes based on
- linear OA(6427, 42, F64, 27) (dual of [42, 15, 28]-code or 42-arc in PG(26,64)), using
- discarding factors / shortening the dual code based on linear OA(6427, 64, F64, 27) (dual of [64, 37, 28]-code or 64-arc in PG(26,64)), using
- Reed–Solomon code RS(37,64) [i]
- discarding factors / shortening the dual code based on linear OA(6427, 64, F64, 27) (dual of [64, 37, 28]-code or 64-arc in PG(26,64)), using
- linear OA(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
- extended Reed–Solomon code RSe(3,4) [i]
- Hamming code H(2,4) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4165, 210, F4, 82) (dual of [210, 45, 83]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4166, 211, F4, 83) (dual of [211, 45, 84]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4164, 209, F4, 82) (dual of [209, 45, 83]-code) | [i] | Truncation | |
| 4 | Linear OA(4163, 208, F4, 81) (dual of [208, 45, 82]-code) | [i] | ||
| 5 | Linear OOA(4165, 105, F4, 2, 83) (dual of [(105, 2), 45, 84]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(4165, 70, F4, 3, 83) (dual of [(70, 3), 45, 84]-NRT-code) | [i] | ||