Information on Result #2216642
Linear OA(9148, 176, F9, 91) (dual of [176, 28, 92]-code), using strength reduction based on linear OA(9148, 176, F9, 92) (dual of [176, 28, 93]-code), using
- concatenation of two codes [i] based on
- linear OA(8130, 44, F81, 30) (dual of [44, 14, 31]-code or 44-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
- linear OA(8130, 44, F81, 30) (dual of [44, 14, 31]-code or 44-arc in PG(29,81)), 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(9147, 175, F9, 90) (dual of [175, 28, 91]-code) | [i] | Truncation | |
| 2 | Linear OOA(9148, 88, F9, 2, 91) (dual of [(88, 2), 28, 92]-NRT-code) | [i] | OOA Folding | |