Information on Result #637447
Linear OA(4243, 288, F4, 135) (dual of [288, 45, 136]-code), using concatenation of two codes based on
- linear OA(6433, 48, F64, 33) (dual of [48, 15, 34]-code or 48-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(4243, 288, F4, 134) (dual of [288, 45, 135]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4243, 288, F4, 133) (dual of [288, 45, 134]-code) | [i] | ||
| 3 | Linear OA(4244, 289, F4, 135) (dual of [289, 45, 136]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4242, 287, F4, 134) (dual of [287, 45, 135]-code) | [i] | Truncation | |
| 5 | Linear OA(4241, 286, F4, 133) (dual of [286, 45, 134]-code) | [i] | ||
| 6 | Linear OA(4240, 285, F4, 132) (dual of [285, 45, 133]-code) | [i] | ||
| 7 | Linear OA(4239, 284, F4, 131) (dual of [284, 45, 132]-code) | [i] | ||
| 8 | Linear OA(4238, 283, F4, 130) (dual of [283, 45, 131]-code) | [i] | ||
| 9 | Linear OA(4236, 281, F4, 128) (dual of [281, 45, 129]-code) | [i] | ||
| 10 | Linear OOA(4243, 144, F4, 2, 135) (dual of [(144, 2), 45, 136]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4243, 96, F4, 3, 135) (dual of [(96, 3), 45, 136]-NRT-code) | [i] | ||