Information on Result #640033
Linear OA(991, 135, F9, 47) (dual of [135, 44, 48]-code), using concatenation of two codes based on
- linear OA(8123, 45, F81, 23) (dual of [45, 22, 24]-code or 45-arc in PG(22,81)), using
- discarding factors / shortening the dual code based on linear OA(8123, 81, F81, 23) (dual of [81, 58, 24]-code or 81-arc in PG(22,81)), using
- Reed–Solomon code RS(58,81) [i]
- discarding factors / shortening the dual code based on linear OA(8123, 81, F81, 23) (dual of [81, 58, 24]-code or 81-arc in PG(22,81)), 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(990, 134, F9, 46) (dual of [134, 44, 47]-code) | [i] | Truncation | |
| 2 | Linear OOA(991, 67, F9, 2, 47) (dual of [(67, 2), 43, 48]-NRT-code) | [i] | OOA Folding | |