Information on Result #633721
Linear OA(3203, 243, F3, 89) (dual of [243, 40, 90]-code), using concatenation of two codes based on
- linear OA(8117, 27, F81, 17) (dual of [27, 10, 18]-code or 27-arc in PG(16,81)), using
- discarding factors / shortening the dual code based on linear OA(8117, 81, F81, 17) (dual of [81, 64, 18]-code or 81-arc in PG(16,81)), using
- Reed–Solomon code RS(64,81) [i]
- discarding factors / shortening the dual code based on linear OA(8117, 81, F81, 17) (dual of [81, 64, 18]-code or 81-arc in PG(16,81)), using
- linear OA(35, 9, F3, 4) (dual of [9, 4, 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(3203, 243, F3, 88) (dual of [243, 40, 89]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3202, 242, F3, 88) (dual of [242, 40, 89]-code) | [i] | Truncation | |
| 3 | Linear OA(3201, 241, F3, 87) (dual of [241, 40, 88]-code) | [i] | ||