Information on Result #633718
Linear OA(3176, 216, F3, 74) (dual of [216, 40, 75]-code), using concatenation of two codes based on
- linear OA(8114, 24, F81, 14) (dual of [24, 10, 15]-code or 24-arc in PG(13,81)), using
- discarding factors / shortening the dual code based on linear OA(8114, 81, F81, 14) (dual of [81, 67, 15]-code or 81-arc in PG(13,81)), using
- Reed–Solomon code RS(67,81) [i]
- discarding factors / shortening the dual code based on linear OA(8114, 81, F81, 14) (dual of [81, 67, 15]-code or 81-arc in PG(13,81)), 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 OOA(3176, 108, F3, 2, 74) (dual of [(108, 2), 40, 75]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3176, 72, F3, 3, 74) (dual of [(72, 3), 40, 75]-NRT-code) | [i] | ||