Information on Result #640607
Linear OA(9120, 144, F9, 74) (dual of [144, 24, 75]-code), using concatenation of two codes based on
- linear OA(8124, 36, F81, 24) (dual of [36, 12, 25]-code or 36-arc in PG(23,81)), using
- discarding factors / shortening the dual code based on linear OA(8124, 81, F81, 24) (dual of [81, 57, 25]-code or 81-arc in PG(23,81)), using
- Reed–Solomon code RS(57,81) [i]
- discarding factors / shortening the dual code based on linear OA(8124, 81, F81, 24) (dual of [81, 57, 25]-code or 81-arc in PG(23,81)), 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(9119, 143, F9, 73) (dual of [143, 24, 74]-code) | [i] | Truncation | |
| 2 | Linear OA(9118, 142, F9, 72) (dual of [142, 24, 73]-code) | [i] | ||
| 3 | Linear OOA(9120, 72, F9, 2, 74) (dual of [(72, 2), 24, 75]-NRT-code) | [i] | OOA Folding | |