Information on Result #637448
Linear OA(4240, 282, F4, 135) (dual of [282, 42, 136]-code), using concatenation of two codes based on
- linear OA(6433, 47, F64, 33) (dual of [47, 14, 34]-code or 47-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(4240, 282, F4, 134) (dual of [282, 42, 135]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4240, 282, F4, 133) (dual of [282, 42, 134]-code) | [i] | ||
| 3 | Linear OA(4241, 283, F4, 135) (dual of [283, 42, 136]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4239, 281, F4, 134) (dual of [281, 42, 135]-code) | [i] | Truncation | |
| 5 | Linear OA(4238, 280, F4, 133) (dual of [280, 42, 134]-code) | [i] | ||
| 6 | Linear OA(4237, 279, F4, 132) (dual of [279, 42, 133]-code) | [i] | ||
| 7 | Linear OA(4236, 278, F4, 131) (dual of [278, 42, 132]-code) | [i] | ||
| 8 | Linear OA(4235, 277, F4, 130) (dual of [277, 42, 131]-code) | [i] | ||
| 9 | Linear OA(4233, 275, F4, 128) (dual of [275, 42, 129]-code) | [i] | ||
| 10 | Linear OOA(4240, 141, F4, 2, 135) (dual of [(141, 2), 42, 136]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4240, 94, F4, 3, 135) (dual of [(94, 3), 42, 136]-NRT-code) | [i] | ||