Information on Result #637490
Linear OA(4252, 282, F4, 151) (dual of [282, 30, 152]-code), using concatenation of two codes based on
- linear OA(6437, 47, F64, 37) (dual of [47, 10, 38]-code or 47-arc in PG(36,64)), using
- discarding factors / shortening the dual code based on linear OA(6437, 64, F64, 37) (dual of [64, 27, 38]-code or 64-arc in PG(36,64)), using
- Reed–Solomon code RS(27,64) [i]
- discarding factors / shortening the dual code based on linear OA(6437, 64, F64, 37) (dual of [64, 27, 38]-code or 64-arc in PG(36,64)), 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(4252, 282, F4, 150) (dual of [282, 30, 151]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4252, 282, F4, 149) (dual of [282, 30, 150]-code) | [i] | ||
| 3 | Linear OA(4253, 283, F4, 151) (dual of [283, 30, 152]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4251, 281, F4, 150) (dual of [281, 30, 151]-code) | [i] | Truncation | |
| 5 | Linear OA(4250, 280, F4, 149) (dual of [280, 30, 150]-code) | [i] | ||
| 6 | Linear OA(4249, 279, F4, 148) (dual of [279, 30, 149]-code) | [i] | ||
| 7 | Linear OA(4248, 278, F4, 147) (dual of [278, 30, 148]-code) | [i] | ||
| 8 | Linear OA(4247, 277, F4, 146) (dual of [277, 30, 147]-code) | [i] | ||
| 9 | Linear OA(4245, 275, F4, 144) (dual of [275, 30, 145]-code) | [i] | ||
| 10 | Linear OOA(4252, 141, F4, 2, 151) (dual of [(141, 2), 30, 152]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4252, 94, F4, 3, 151) (dual of [(94, 3), 30, 152]-NRT-code) | [i] | ||