Information on Result #640600
Linear OA(9110, 128, F9, 71) (dual of [128, 18, 72]-code), using concatenation of two codes based on
- linear OA(8123, 32, F81, 23) (dual of [32, 9, 24]-code or 32-arc in PG(22,81)), using
- discarding factors / shortening the dual code based on linear OA(8123, 81, F81, 23) (dual of [81, 58, 24]-code or 81-arc in PG(22,81)), using
- Reed–Solomon code RS(58,81) [i]
- discarding factors / shortening the dual code based on linear OA(8123, 81, F81, 23) (dual of [81, 58, 24]-code or 81-arc in PG(22,81)), 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.
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(9110, 128, F9, 70) (dual of [128, 18, 71]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9109, 127, F9, 70) (dual of [127, 18, 71]-code) | [i] | Truncation | |
| 3 | Linear OA(9108, 126, F9, 69) (dual of [126, 18, 70]-code) | [i] | ||
| 4 | Linear OOA(9110, 64, F9, 2, 71) (dual of [(64, 2), 18, 72]-NRT-code) | [i] | OOA Folding | |