Information on Result #640521
Linear OA(9142, 174, F9, 85) (dual of [174, 32, 86]-code), using concatenation of two codes based on
- linear OA(8142, 58, F81, 42) (dual of [58, 16, 43]-code or 58-arc in PG(41,81)), using
- discarding factors / shortening the dual code based on linear OA(8142, 81, F81, 42) (dual of [81, 39, 43]-code or 81-arc in PG(41,81)), using
- Reed–Solomon code RS(39,81) [i]
- discarding factors / shortening the dual code based on linear OA(8142, 81, F81, 42) (dual of [81, 39, 43]-code or 81-arc in PG(41,81)), using
- linear OA(91, 3, F9, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(9141, 173, F9, 84) (dual of [173, 32, 85]-code) | [i] | Truncation | |
| 2 | Linear OOA(9142, 87, F9, 2, 85) (dual of [(87, 2), 32, 86]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(9142, 58, F9, 3, 85) (dual of [(58, 3), 32, 86]-NRT-code) | [i] | ||