Information on Result #640729
Linear OA(9149, 165, F9, 103) (dual of [165, 16, 104]-code), using concatenation of two codes based on
- linear OA(8125, 33, F81, 25) (dual of [33, 8, 26]-code or 33-arc in PG(24,81)), using
- discarding factors / shortening the dual code based on linear OA(8125, 81, F81, 25) (dual of [81, 56, 26]-code or 81-arc in PG(24,81)), using
- Reed–Solomon code RS(56,81) [i]
- discarding factors / shortening the dual code based on linear OA(8125, 81, F81, 25) (dual of [81, 56, 26]-code or 81-arc in PG(24,81)), using
- linear OA(93, 5, F9, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,9) or 5-cap in PG(2,9)), using
- discarding factors / shortening the dual code based on linear OA(93, 9, F9, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,9) or 9-cap in PG(2,9)), using
- Reed–Solomon code RS(6,9) [i]
- discarding factors / shortening the dual code based on linear OA(93, 9, F9, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,9) or 9-cap in PG(2,9)), 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(9149, 165, F9, 102) (dual of [165, 16, 103]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9149, 165, F9, 101) (dual of [165, 16, 102]-code) | [i] | ||
| 3 | Linear OA(9145, 161, F9, 99) (dual of [161, 16, 100]-code) | [i] | Truncation | |
| 4 | Linear OA(9143, 159, F9, 97) (dual of [159, 16, 98]-code) | [i] | ||
| 5 | Linear OA(9142, 158, F9, 96) (dual of [158, 16, 97]-code) | [i] | ||
| 6 | Linear OA(9141, 157, F9, 95) (dual of [157, 16, 96]-code) | [i] | ||
| 7 | Linear OA(9140, 156, F9, 94) (dual of [156, 16, 95]-code) | [i] | ||
| 8 | Linear OOA(9149, 55, F9, 3, 103) (dual of [(55, 3), 16, 104]-NRT-code) | [i] | OOA Folding | |