Information on Result #637228
Linear OA(4108, 138, F4, 55) (dual of [138, 30, 56]-code), using concatenation of two codes based on
- linear OA(6413, 23, F64, 13) (dual of [23, 10, 14]-code or 23-arc in PG(12,64)), using
- discarding factors / shortening the dual code based on linear OA(6413, 64, F64, 13) (dual of [64, 51, 14]-code or 64-arc in PG(12,64)), using
- Reed–Solomon code RS(51,64) [i]
- discarding factors / shortening the dual code based on linear OA(6413, 64, F64, 13) (dual of [64, 51, 14]-code or 64-arc in PG(12,64)), 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(4108, 138, F4, 54) (dual of [138, 30, 55]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4107, 137, F4, 54) (dual of [137, 30, 55]-code) | [i] | Truncation | |
| 3 | Linear OA(4106, 136, F4, 53) (dual of [136, 30, 54]-code) | [i] | ||
| 4 | Linear OOA(4108, 69, F4, 2, 55) (dual of [(69, 2), 30, 56]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4108, 46, F4, 3, 55) (dual of [(46, 3), 30, 56]-NRT-code) | [i] | ||