Information on Result #640359
Linear OA(9144, 216, F9, 73) (dual of [216, 72, 74]-code), using concatenation of two codes based on
- linear OA(8136, 72, F81, 36) (dual of [72, 36, 37]-code or 72-arc in PG(35,81)), using
- discarding factors / shortening the dual code based on linear OA(8136, 81, F81, 36) (dual of [81, 45, 37]-code or 81-arc in PG(35,81)), using
- Reed–Solomon code RS(45,81) [i]
- discarding factors / shortening the dual code based on linear OA(8136, 81, F81, 36) (dual of [81, 45, 37]-code or 81-arc in PG(35,81)), 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(9143, 215, F9, 72) (dual of [215, 72, 73]-code) | [i] | Truncation | |
| 2 | Linear OOA(9144, 108, F9, 2, 73) (dual of [(108, 2), 72, 74]-NRT-code) | [i] | OOA Folding | |