Information on Result #633720
Linear OA(3194, 234, F3, 84) (dual of [234, 40, 85]-code), using concatenation of two codes based on
- linear OA(8116, 26, F81, 16) (dual of [26, 10, 17]-code or 26-arc in PG(15,81)), using
- discarding factors / shortening the dual code based on linear OA(8116, 81, F81, 16) (dual of [81, 65, 17]-code or 81-arc in PG(15,81)), using
- Reed–Solomon code RS(65,81) [i]
- discarding factors / shortening the dual code based on linear OA(8116, 81, F81, 16) (dual of [81, 65, 17]-code or 81-arc in PG(15,81)), 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(3194, 117, F3, 2, 84) (dual of [(117, 2), 40, 85]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3194, 78, F3, 3, 84) (dual of [(78, 3), 40, 85]-NRT-code) | [i] | ||