Information on Result #637443
Linear OA(4255, 312, F4, 135) (dual of [312, 57, 136]-code), using concatenation of two codes based on
- linear OA(6433, 52, F64, 33) (dual of [52, 19, 34]-code or 52-arc in PG(32,64)), using
- discarding factors / shortening the dual code based on linear OA(6433, 64, F64, 33) (dual of [64, 31, 34]-code or 64-arc in PG(32,64)), using
- Reed–Solomon code RS(31,64) [i]
- discarding factors / shortening the dual code based on linear OA(6433, 64, F64, 33) (dual of [64, 31, 34]-code or 64-arc in PG(32,64)), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4255, 312, F4, 134) (dual of [312, 57, 135]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4255, 312, F4, 133) (dual of [312, 57, 134]-code) | [i] | ||
| 3 | Linear OA(4256, 313, F4, 135) (dual of [313, 57, 136]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4257, 314, F4, 135) (dual of [314, 57, 136]-code) | [i] | ||
| 5 | Linear OA(4254, 311, F4, 134) (dual of [311, 57, 135]-code) | [i] | Truncation | |
| 6 | Linear OA(4253, 310, F4, 133) (dual of [310, 57, 134]-code) | [i] | ||
| 7 | Linear OA(4252, 309, F4, 132) (dual of [309, 57, 133]-code) | [i] | ||
| 8 | Linear OA(4251, 308, F4, 131) (dual of [308, 57, 132]-code) | [i] | ||
| 9 | Linear OA(4250, 307, F4, 130) (dual of [307, 57, 131]-code) | [i] | ||
| 10 | Linear OOA(4255, 156, F4, 2, 135) (dual of [(156, 2), 57, 136]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4255, 104, F4, 3, 135) (dual of [(104, 3), 57, 136]-NRT-code) | [i] | ||