Information on Result #637428
Linear OA(4252, 312, F4, 131) (dual of [312, 60, 132]-code), using concatenation of two codes based on
- linear OA(6432, 52, F64, 32) (dual of [52, 20, 33]-code or 52-arc in PG(31,64)), using
- discarding factors / shortening the dual code based on linear OA(6432, 64, F64, 32) (dual of [64, 32, 33]-code or 64-arc in PG(31,64)), using
- Reed–Solomon code RS(32,64) [i]
- discarding factors / shortening the dual code based on linear OA(6432, 64, F64, 32) (dual of [64, 32, 33]-code or 64-arc in PG(31,64)), 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, 312, F4, 130) (dual of [312, 60, 131]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4252, 312, F4, 129) (dual of [312, 60, 130]-code) | [i] | ||
| 3 | Linear OA(4253, 313, F4, 131) (dual of [313, 60, 132]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4251, 311, F4, 130) (dual of [311, 60, 131]-code) | [i] | Truncation | |
| 5 | Linear OA(4250, 310, F4, 129) (dual of [310, 60, 130]-code) | [i] | ||
| 6 | Linear OA(4249, 309, F4, 128) (dual of [309, 60, 129]-code) | [i] | ||
| 7 | Linear OA(4248, 308, F4, 127) (dual of [308, 60, 128]-code) | [i] | ||
| 8 | Linear OA(4247, 307, F4, 126) (dual of [307, 60, 127]-code) | [i] | ||
| 9 | Linear OA(4254, 315, F4, 131) (dual of [315, 61, 132]-code) | [i] | Construction X with Varšamov Bound | |
| 10 | Linear OOA(4252, 156, F4, 2, 131) (dual of [(156, 2), 60, 132]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4252, 104, F4, 3, 131) (dual of [(104, 3), 60, 132]-NRT-code) | [i] | ||