Information on Result #637367
Linear OA(4210, 252, F4, 115) (dual of [252, 42, 116]-code), using concatenation of two codes based on
- linear OA(6428, 42, F64, 28) (dual of [42, 14, 29]-code or 42-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(4210, 252, F4, 114) (dual of [252, 42, 115]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4210, 252, F4, 113) (dual of [252, 42, 114]-code) | [i] | ||
| 3 | Linear OA(4211, 253, F4, 115) (dual of [253, 42, 116]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4209, 251, F4, 114) (dual of [251, 42, 115]-code) | [i] | Truncation | |
| 5 | Linear OA(4208, 250, F4, 113) (dual of [250, 42, 114]-code) | [i] | ||
| 6 | Linear OA(4207, 249, F4, 112) (dual of [249, 42, 113]-code) | [i] | ||
| 7 | Linear OA(4206, 248, F4, 111) (dual of [248, 42, 112]-code) | [i] | ||
| 8 | Linear OA(4205, 247, F4, 110) (dual of [247, 42, 111]-code) | [i] | ||
| 9 | Linear OA(4203, 245, F4, 108) (dual of [245, 42, 109]-code) | [i] | ||
| 10 | Linear OOA(4210, 126, F4, 2, 115) (dual of [(126, 2), 42, 116]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4210, 84, F4, 3, 115) (dual of [(84, 3), 42, 116]-NRT-code) | [i] | ||