Information on Result #640751
Linear OA(9144, 156, F9, 104) (dual of [156, 12, 105]-code), using concatenation of two codes based on
- linear OA(8120, 26, F81, 20) (dual of [26, 6, 21]-code or 26-arc in PG(19,81)), using
- discarding factors / shortening the dual code based on linear OA(8120, 81, F81, 20) (dual of [81, 61, 21]-code or 81-arc in PG(19,81)), using
- Reed–Solomon code RS(61,81) [i]
- discarding factors / shortening the dual code based on linear OA(8120, 81, F81, 20) (dual of [81, 61, 21]-code or 81-arc in PG(19,81)), using
- linear OA(94, 6, F9, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,9)), using
- discarding factors / shortening the dual code based on linear OA(94, 9, F9, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,9)), using
- Reed–Solomon code RS(5,9) [i]
- discarding factors / shortening the dual code based on linear OA(94, 9, F9, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,9)), 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(9142, 154, F9, 102) (dual of [154, 12, 103]-code) | [i] | Truncation | |
| 2 | Linear OA(9141, 153, F9, 101) (dual of [153, 12, 102]-code) | [i] | ||
| 3 | Linear OA(9140, 152, F9, 100) (dual of [152, 12, 101]-code) | [i] | ||
| 4 | Linear OA(9139, 151, F9, 99) (dual of [151, 12, 100]-code) | [i] | ||
| 5 | Linear OA(9137, 149, F9, 97) (dual of [149, 12, 98]-code) | [i] | ||
| 6 | Linear OA(9136, 148, F9, 96) (dual of [148, 12, 97]-code) | [i] | ||
| 7 | Linear OA(9135, 147, F9, 95) (dual of [147, 12, 96]-code) | [i] | ||
| 8 | Linear OA(9134, 146, F9, 94) (dual of [146, 12, 95]-code) | [i] | ||
| 9 | Linear OOA(9144, 78, F9, 2, 104) (dual of [(78, 2), 12, 105]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(9144, 52, F9, 3, 104) (dual of [(52, 3), 12, 105]-NRT-code) | [i] | ||