Information on Result #640705
Linear OA(9118, 130, F9, 83) (dual of [130, 12, 84]-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(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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(9118, 130, F9, 82) (dual of [130, 12, 83]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9118, 130, F9, 81) (dual of [130, 12, 82]-code) | [i] | ||
| 3 | Linear OA(9117, 129, F9, 82) (dual of [129, 12, 83]-code) | [i] | Truncation | |
| 4 | Linear OA(9116, 128, F9, 81) (dual of [128, 12, 82]-code) | [i] | ||
| 5 | Linear OA(9115, 127, F9, 80) (dual of [127, 12, 81]-code) | [i] | ||