Information on Result #637478
Linear OA(4231, 252, F4, 143) (dual of [252, 21, 144]-code), using concatenation of two codes based on
- linear OA(6435, 42, F64, 35) (dual of [42, 7, 36]-code or 42-arc in PG(34,64)), using
- discarding factors / shortening the dual code based on linear OA(6435, 64, F64, 35) (dual of [64, 29, 36]-code or 64-arc in PG(34,64)), using
- Reed–Solomon code RS(29,64) [i]
- discarding factors / shortening the dual code based on linear OA(6435, 64, F64, 35) (dual of [64, 29, 36]-code or 64-arc in PG(34,64)), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4231, 252, F4, 142) (dual of [252, 21, 143]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4231, 252, F4, 141) (dual of [252, 21, 142]-code) | [i] | ||
| 3 | Linear OA(4232, 253, F4, 143) (dual of [253, 21, 144]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4230, 251, F4, 142) (dual of [251, 21, 143]-code) | [i] | Truncation | |
| 5 | Linear OA(4229, 250, F4, 141) (dual of [250, 21, 142]-code) | [i] | ||
| 6 | Linear OA(4228, 249, F4, 140) (dual of [249, 21, 141]-code) | [i] | ||
| 7 | Linear OA(4227, 248, F4, 139) (dual of [248, 21, 140]-code) | [i] | ||
| 8 | Linear OA(4226, 247, F4, 138) (dual of [247, 21, 139]-code) | [i] | ||
| 9 | Linear OA(4224, 245, F4, 136) (dual of [245, 21, 137]-code) | [i] | ||
| 10 | Linear OOA(4231, 126, F4, 2, 143) (dual of [(126, 2), 21, 144]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4231, 84, F4, 3, 143) (dual of [(84, 3), 21, 144]-NRT-code) | [i] | ||