Information on Result #632671
Linear OA(3144, 168, F3, 69) (dual of [168, 24, 70]-code), using concatenation of two codes based on
- linear OA(2713, 21, F27, 13) (dual of [21, 8, 14]-code or 21-arc in PG(12,27)), using
- discarding factors / shortening the dual code based on linear OA(2713, 27, F27, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,27)), using
- Reed–Solomon code RS(14,27) [i]
- discarding factors / shortening the dual code based on linear OA(2713, 27, F27, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,27)), using
- linear OA(35, 8, F3, 4) (dual of [8, 3, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(35, 11, F3, 4) (dual of [11, 6, 5]-code), using
- Golay code G(3) [i]
- discarding factors / shortening the dual code based on linear OA(35, 11, F3, 4) (dual of [11, 6, 5]-code), 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(3144, 168, F3, 68) (dual of [168, 24, 69]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(3144, 84, F3, 2, 69) (dual of [(84, 2), 24, 70]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3144, 56, F3, 3, 69) (dual of [(56, 3), 24, 70]-NRT-code) | [i] | ||