Information on Result #632682
Linear OA(3180, 216, F3, 79) (dual of [216, 36, 80]-code), using concatenation of two codes based on
- linear OA(2715, 27, F27, 15) (dual of [27, 12, 16]-code or 27-arc in PG(14,27)), using
- Reed–Solomon code RS(12,27) [i]
- 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(3180, 216, F3, 78) (dual of [216, 36, 79]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(3180, 108, F3, 2, 79) (dual of [(108, 2), 36, 80]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3180, 72, F3, 3, 79) (dual of [(72, 3), 36, 80]-NRT-code) | [i] | ||