Information on Result #689356
Linear OA(931, 59049, F9, 7) (dual of [59049, 59018, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OA(936, 59054, F9, 8) (dual of [59054, 59018, 9]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
2 | Linear OA(931, 59054, F9, 7) (dual of [59054, 59023, 8]-code) | [i] | ✔ | |
3 | Linear OA(943, 59059, F9, 10) (dual of [59059, 59016, 11]-code) | [i] | ✔ | |
4 | Linear OA(944, 59062, F9, 10) (dual of [59062, 59018, 11]-code) | [i] | ✔ | |
5 | Linear OA(950, 59068, F9, 11) (dual of [59068, 59018, 12]-code) | [i] | ✔ | |
6 | Linear OA(934, 59067, F9, 7) (dual of [59067, 59033, 8]-code) | [i] | ✔ | |
7 | Linear OA(957, 59075, F9, 12) (dual of [59075, 59018, 13]-code) | [i] | ✔ | |
8 | Linear OA(963, 59081, F9, 13) (dual of [59081, 59018, 14]-code) | [i] | ✔ | |
9 | Linear OA(971, 59089, F9, 14) (dual of [59089, 59018, 15]-code) | [i] | ✔ | |
10 | Linear OA(956, 59070, F9, 12) (dual of [59070, 59014, 13]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
11 | Linear OA(951, 59070, F9, 11) (dual of [59070, 59019, 12]-code) | [i] | ✔ |