Information on Result #632666
Linear OA(3136, 160, F3, 64) (dual of [160, 24, 65]-code), using concatenation of two codes based on
- linear OA(2712, 20, F27, 12) (dual of [20, 8, 13]-code or 20-arc in PG(11,27)), using
- discarding factors / shortening the dual code based on linear OA(2712, 27, F27, 12) (dual of [27, 15, 13]-code or 27-arc in PG(11,27)), using
- Reed–Solomon code RS(15,27) [i]
- discarding factors / shortening the dual code based on linear OA(2712, 27, F27, 12) (dual of [27, 15, 13]-code or 27-arc in PG(11,27)), 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(3136, 160, F3, 63) (dual of [160, 24, 64]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3135, 159, F3, 63) (dual of [159, 24, 64]-code) | [i] | Truncation | |
| 3 | Linear OA(3134, 158, F3, 62) (dual of [158, 24, 63]-code) | [i] | ||
| 4 | Linear OA(3133, 157, F3, 61) (dual of [157, 24, 62]-code) | [i] | ||
| 5 | Linear OA(3132, 156, F3, 60) (dual of [156, 24, 61]-code) | [i] | ||
| 6 | Linear OA(3131, 155, F3, 59) (dual of [155, 24, 60]-code) | [i] | ||
| 7 | Linear OA(3130, 154, F3, 58) (dual of [154, 24, 59]-code) | [i] | ||
| 8 | Linear OOA(3136, 80, F3, 2, 64) (dual of [(80, 2), 24, 65]-NRT-code) | [i] | OOA Folding | |