Information on Result #640666
Linear OA(9150, 180, F9, 92) (dual of [180, 30, 93]-code), using concatenation of two codes based on
- linear OA(8130, 45, F81, 30) (dual of [45, 15, 31]-code or 45-arc in PG(29,81)), using
- discarding factors / shortening the dual code based on linear OA(8130, 81, F81, 30) (dual of [81, 51, 31]-code or 81-arc in PG(29,81)), using
- Reed–Solomon code RS(51,81) [i]
- discarding factors / shortening the dual code based on linear OA(8130, 81, F81, 30) (dual of [81, 51, 31]-code or 81-arc in PG(29,81)), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OA(9149, 179, F9, 91) (dual of [179, 30, 92]-code) | [i] | Truncation | |
2 | Linear OA(9148, 178, F9, 90) (dual of [178, 30, 91]-code) | [i] | ||
3 | Linear OOA(9150, 90, F9, 2, 92) (dual of [(90, 2), 30, 93]-NRT-code) | [i] | OOA Folding | |
4 | Linear OOA(9150, 60, F9, 3, 92) (dual of [(60, 3), 30, 93]-NRT-code) | [i] |