Information on Result #640709
Linear OA(9129, 145, F9, 87) (dual of [145, 16, 88]-code), using concatenation of two codes based on
- linear OA(8121, 29, F81, 21) (dual of [29, 8, 22]-code or 29-arc in PG(20,81)), using
- discarding factors / shortening the dual code based on linear OA(8121, 81, F81, 21) (dual of [81, 60, 22]-code or 81-arc in PG(20,81)), using
- Reed–Solomon code RS(60,81) [i]
- discarding factors / shortening the dual code based on linear OA(8121, 81, F81, 21) (dual of [81, 60, 22]-code or 81-arc in PG(20,81)), 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(9129, 145, F9, 86) (dual of [145, 16, 87]-code) | [i] | Strength Reduction | |
2 | Linear OA(9127, 143, F9, 85) (dual of [143, 16, 86]-code) | [i] | Truncation | |
3 | Linear OA(9126, 142, F9, 84) (dual of [142, 16, 85]-code) | [i] | ||
4 | Linear OA(9125, 141, F9, 83) (dual of [141, 16, 84]-code) | [i] | ||
5 | Linear OA(9123, 139, F9, 81) (dual of [139, 16, 82]-code) | [i] | ||
6 | Linear OOA(9129, 72, F9, 2, 87) (dual of [(72, 2), 15, 88]-NRT-code) | [i] | OOA Folding |