Information on Result #637241
Linear OA(4114, 138, F4, 63) (dual of [138, 24, 64]-code), using concatenation of two codes based on
- linear OA(6415, 23, F64, 15) (dual of [23, 8, 16]-code or 23-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(4114, 138, F4, 62) (dual of [138, 24, 63]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4114, 138, F4, 61) (dual of [138, 24, 62]-code) | [i] | ||
| 3 | Linear OA(4115, 139, F4, 63) (dual of [139, 24, 64]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4113, 137, F4, 62) (dual of [137, 24, 63]-code) | [i] | Truncation | |
| 5 | Linear OA(4112, 136, F4, 61) (dual of [136, 24, 62]-code) | [i] | ||
| 6 | Linear OA(4111, 135, F4, 60) (dual of [135, 24, 61]-code) | [i] | ||
| 7 | Linear OA(4110, 134, F4, 59) (dual of [134, 24, 60]-code) | [i] | ||
| 8 | Linear OA(4109, 133, F4, 58) (dual of [133, 24, 59]-code) | [i] | ||
| 9 | Linear OA(4116, 141, F4, 63) (dual of [141, 25, 64]-code) | [i] | Construction X with Varšamov Bound | |
| 10 | Linear OOA(4114, 69, F4, 2, 63) (dual of [(69, 2), 24, 64]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4114, 46, F4, 3, 63) (dual of [(46, 3), 24, 64]-NRT-code) | [i] | ||