Information on Result #640662
Linear OA(9132, 148, F9, 89) (dual of [148, 16, 90]-code), using concatenation of two codes based on
- linear OA(8129, 37, F81, 29) (dual of [37, 8, 30]-code or 37-arc in PG(28,81)), using
- discarding factors / shortening the dual code based on linear OA(8129, 81, F81, 29) (dual of [81, 52, 30]-code or 81-arc in PG(28,81)), using
- Reed–Solomon code RS(52,81) [i]
- discarding factors / shortening the dual code based on linear OA(8129, 81, F81, 29) (dual of [81, 52, 30]-code or 81-arc in PG(28,81)), using
- linear OA(92, 4, F9, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,9)), using
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), using
- Reed–Solomon code RS(7,9) [i]
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), 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(9132, 148, F9, 88) (dual of [148, 16, 89]-code) | [i] | Strength Reduction | |
2 | Linear OOA(9132, 74, F9, 2, 89) (dual of [(74, 2), 16, 90]-NRT-code) | [i] | OOA Folding | |
3 | Linear OOA(9132, 49, F9, 3, 89) (dual of [(49, 3), 15, 90]-NRT-code) | [i] |