Information on Result #640440
Linear OA(9130, 162, F9, 77) (dual of [162, 32, 78]-code), using concatenation of two codes based on
- linear OA(8138, 54, F81, 38) (dual of [54, 16, 39]-code or 54-arc in PG(37,81)), using
- discarding factors / shortening the dual code based on linear OA(8138, 81, F81, 38) (dual of [81, 43, 39]-code or 81-arc in PG(37,81)), using
- Reed–Solomon code RS(43,81) [i]
- discarding factors / shortening the dual code based on linear OA(8138, 81, F81, 38) (dual of [81, 43, 39]-code or 81-arc in PG(37,81)), 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(9129, 161, F9, 76) (dual of [161, 32, 77]-code) | [i] | Truncation | |
| 2 | Linear OOA(9130, 81, F9, 2, 77) (dual of [(81, 2), 32, 78]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(9130, 54, F9, 3, 77) (dual of [(54, 3), 32, 78]-NRT-code) | [i] | ||