Information on Result #691480
Linear OA(940, 41, F9, 40) (dual of [41, 1, 41]-code or 41-arc in PG(39,9)), using the narrow-sense BCH-code C(I) with length 41 | 94−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(940, 41, F9, 39) (dual of [41, 1, 40]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(940, 41, F9, 38) (dual of [41, 1, 39]-code) | [i] | ||
| 3 | Linear OA(940, 41, F9, 37) (dual of [41, 1, 38]-code) | [i] | ||
| 4 | Linear OA(975, 152, F9, 40) (dual of [152, 77, 41]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(993, 383, F9, 40) (dual of [383, 290, 41]-code) | [i] | ||
| 6 | Linear OA(999, 529, F9, 40) (dual of [529, 430, 41]-code) | [i] | ||
| 7 | Linear OA(9117, 1423, F9, 40) (dual of [1423, 1306, 41]-code) | [i] | ||
| 8 | Linear OA(9134, 3676, F9, 40) (dual of [3676, 3542, 41]-code) | [i] | ||
| 9 | Linear OA(946, 51, F9, 37) (dual of [51, 5, 38]-code) | [i] | ✔ | Construction X with Cyclic Codes |