Information on Result #632703
Linear OA(3187, 208, F3, 99) (dual of [208, 21, 100]-code), using concatenation of two codes based on
- linear OA(2719, 26, F27, 19) (dual of [26, 7, 20]-code or 26-arc in PG(18,27)), using
- discarding factors / shortening the dual code based on linear OA(2719, 27, F27, 19) (dual of [27, 8, 20]-code or 27-arc in PG(18,27)), using
- Reed–Solomon code RS(8,27) [i]
- discarding factors / shortening the dual code based on linear OA(2719, 27, F27, 19) (dual of [27, 8, 20]-code or 27-arc in PG(18,27)), 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(3187, 208, F3, 98) (dual of [208, 21, 99]-code) | [i] | Strength Reduction | |