Information on Result #632699
Linear OA(3179, 200, F3, 94) (dual of [200, 21, 95]-code), using concatenation of two codes based on
- linear OA(2718, 25, F27, 18) (dual of [25, 7, 19]-code or 25-arc in PG(17,27)), using
- discarding factors / shortening the dual code based on linear OA(2718, 27, F27, 18) (dual of [27, 9, 19]-code or 27-arc in PG(17,27)), using
- Reed–Solomon code RS(9,27) [i]
- discarding factors / shortening the dual code based on linear OA(2718, 27, F27, 18) (dual of [27, 9, 19]-code or 27-arc in PG(17,27)), 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(3179, 200, F3, 93) (dual of [200, 21, 94]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3179, 200, F3, 92) (dual of [200, 21, 93]-code) | [i] | ||
| 3 | Linear OOA(3179, 40, F3, 5, 94) (dual of [(40, 5), 21, 95]-NRT-code) | [i] | OOA Folding | |