Information on Result #637240
Linear OA(4117, 144, F4, 63) (dual of [144, 27, 64]-code), using concatenation of two codes based on
- linear OA(6415, 24, F64, 15) (dual of [24, 9, 16]-code or 24-arc in PG(14,64)), using
- discarding factors / shortening the dual code based on linear OA(6415, 64, F64, 15) (dual of [64, 49, 16]-code or 64-arc in PG(14,64)), using
- Reed–Solomon code RS(49,64) [i]
- discarding factors / shortening the dual code based on linear OA(6415, 64, F64, 15) (dual of [64, 49, 16]-code or 64-arc in PG(14,64)), 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(4117, 144, F4, 62) (dual of [144, 27, 63]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4117, 144, F4, 61) (dual of [144, 27, 62]-code) | [i] | ||
| 3 | Linear OA(4118, 145, F4, 63) (dual of [145, 27, 64]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4116, 143, F4, 62) (dual of [143, 27, 63]-code) | [i] | Truncation | |
| 5 | Linear OA(4115, 142, F4, 61) (dual of [142, 27, 62]-code) | [i] | ||
| 6 | Linear OA(4114, 141, F4, 60) (dual of [141, 27, 61]-code) | [i] | ||
| 7 | Linear OA(4112, 139, F4, 58) (dual of [139, 27, 59]-code) | [i] | ||
| 8 | Linear OA(4119, 147, F4, 63) (dual of [147, 28, 64]-code) | [i] | Construction X with Varšamov Bound | |
| 9 | Linear OOA(4117, 72, F4, 2, 63) (dual of [(72, 2), 27, 64]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(4117, 48, F4, 3, 63) (dual of [(48, 3), 27, 64]-NRT-code) | [i] | ||