Information on Result #637374
Linear OA(4189, 210, F4, 115) (dual of [210, 21, 116]-code), using concatenation of two codes based on
- linear OA(6428, 35, F64, 28) (dual of [35, 7, 29]-code or 35-arc in PG(27,64)), using
- discarding factors / shortening the dual code based on linear OA(6428, 64, F64, 28) (dual of [64, 36, 29]-code or 64-arc in PG(27,64)), using
- Reed–Solomon code RS(36,64) [i]
- discarding factors / shortening the dual code based on linear OA(6428, 64, F64, 28) (dual of [64, 36, 29]-code or 64-arc in PG(27,64)), using
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
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(4189, 210, F4, 114) (dual of [210, 21, 115]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4189, 210, F4, 113) (dual of [210, 21, 114]-code) | [i] | ||
| 3 | Linear OA(4190, 211, F4, 115) (dual of [211, 21, 116]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4188, 209, F4, 114) (dual of [209, 21, 115]-code) | [i] | Truncation | |
| 5 | Linear OA(4187, 208, F4, 113) (dual of [208, 21, 114]-code) | [i] | ||
| 6 | Linear OA(4186, 207, F4, 112) (dual of [207, 21, 113]-code) | [i] | ||
| 7 | Linear OA(4185, 206, F4, 111) (dual of [206, 21, 112]-code) | [i] | ||
| 8 | Linear OA(4184, 205, F4, 110) (dual of [205, 21, 111]-code) | [i] | ||
| 9 | Linear OA(4182, 203, F4, 108) (dual of [203, 21, 109]-code) | [i] | ||
| 10 | Linear OOA(4189, 105, F4, 2, 115) (dual of [(105, 2), 21, 116]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4189, 70, F4, 3, 115) (dual of [(70, 3), 21, 116]-NRT-code) | [i] | ||