Information on Result #691081
Linear OA(960, 87, F9, 40) (dual of [87, 27, 41]-code), using construction X applied to Ce(39) ⊂ Ce(34) based on
- linear OA(956, 81, F9, 40) (dual of [81, 25, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(954, 81, F9, 35) (dual of [81, 27, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(94, 6, F9, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,9)), using
- discarding factors / shortening the dual code based on linear OA(94, 9, F9, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,9)), using
- Reed–Solomon code RS(5,9) [i]
- discarding factors / shortening the dual code based on linear OA(94, 9, F9, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,9)), 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(959, 86, F9, 39) (dual of [86, 27, 40]-code) | [i] | Truncation | |
| 2 | Linear OA(958, 85, F9, 38) (dual of [85, 27, 39]-code) | [i] | ||
| 3 | Linear OA(957, 84, F9, 37) (dual of [84, 27, 38]-code) | [i] | ||
| 4 | Linear OOA(960, 43, F9, 2, 40) (dual of [(43, 2), 26, 41]-NRT-code) | [i] | OOA Folding | |