Information on Result #632696
Linear OA(3176, 200, F3, 89) (dual of [200, 24, 90]-code), using concatenation of two codes based on
- linear OA(2717, 25, F27, 17) (dual of [25, 8, 18]-code or 25-arc in PG(16,27)), using
- discarding factors / shortening the dual code based on linear OA(2717, 27, F27, 17) (dual of [27, 10, 18]-code or 27-arc in PG(16,27)), using
- Reed–Solomon code RS(10,27) [i]
- discarding factors / shortening the dual code based on linear OA(2717, 27, F27, 17) (dual of [27, 10, 18]-code or 27-arc in PG(16,27)), 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(3176, 200, F3, 88) (dual of [200, 24, 89]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3176, 200, F3, 87) (dual of [200, 24, 88]-code) | [i] | ||
| 3 | Linear OA(3175, 199, F3, 88) (dual of [199, 24, 89]-code) | [i] | Truncation | |
| 4 | Linear OA(3173, 197, F3, 86) (dual of [197, 24, 87]-code) | [i] | ||
| 5 | Linear OA(3172, 196, F3, 85) (dual of [196, 24, 86]-code) | [i] | ||
| 6 | Linear OA(3171, 195, F3, 84) (dual of [195, 24, 85]-code) | [i] | ||
| 7 | Linear OA(3170, 194, F3, 83) (dual of [194, 24, 84]-code) | [i] | ||
| 8 | Linear OA(3169, 193, F3, 82) (dual of [193, 24, 83]-code) | [i] | ||
| 9 | Linear OA(3167, 191, F3, 80) (dual of [191, 24, 81]-code) | [i] | ||