Information on Result #684753
Linear OA(761, 16807, F7, 15) (dual of [16807, 16746, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15
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(766, 16812, F7, 16) (dual of [16812, 16746, 17]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
2 | Linear OA(762, 16813, F7, 15) (dual of [16813, 16751, 16]-code) | [i] | ✔ | |
3 | Linear OA(762, 16818, F7, 14) (dual of [16818, 16756, 15]-code) | [i] | ✔ | |
4 | Linear OA(763, 16815, F7, 15) (dual of [16815, 16752, 16]-code) | [i] | ✔ | |
5 | Linear OA(764, 16820, F7, 15) (dual of [16820, 16756, 16]-code) | [i] | ✔ | |
6 | Linear OA(779, 16825, F7, 18) (dual of [16825, 16746, 19]-code) | [i] | ✔ | |
7 | Linear OA(765, 16826, F7, 15) (dual of [16826, 16761, 16]-code) | [i] | ✔ | |
8 | Linear OA(767, 16833, F7, 15) (dual of [16833, 16766, 16]-code) | [i] | ✔ | |
9 | Linear OA(765, 16831, F7, 14) (dual of [16831, 16766, 15]-code) | [i] | ✔ | |
10 | Linear OA(792, 16838, F7, 20) (dual of [16838, 16746, 21]-code) | [i] | ✔ | |
11 | Linear OA(768, 16839, F7, 15) (dual of [16839, 16771, 16]-code) | [i] | ✔ | |
12 | Linear OA(7102, 16848, F7, 22) (dual of [16848, 16746, 23]-code) | [i] | ✔ | |
13 | Linear OA(772, 16848, F7, 15) (dual of [16848, 16776, 16]-code) | [i] | ✔ | |
14 | Linear OA(768, 16844, F7, 14) (dual of [16844, 16776, 15]-code) | [i] | ✔ | |
15 | Linear OA(7108, 16854, F7, 23) (dual of [16854, 16746, 24]-code) | [i] | ✔ | |
16 | Linear OA(7101, 16847, F7, 22) (dual of [16847, 16746, 23]-code) | [i] | ✔ | |
17 | Linear OA(791, 16833, F7, 20) (dual of [16833, 16742, 21]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
18 | Linear OA(778, 16820, F7, 18) (dual of [16820, 16742, 19]-code) | [i] | ✔ | |
19 | Linear OA(781, 16828, F7, 18) (dual of [16828, 16747, 19]-code) | [i] | ✔ | |
20 | Linear OA(763, 16820, F7, 14) (dual of [16820, 16757, 15]-code) | [i] | ✔ | |
21 | Linear OA(766, 16828, F7, 15) (dual of [16828, 16762, 16]-code) | [i] | ✔ | |
22 | Linear OA(766, 16833, F7, 14) (dual of [16833, 16767, 15]-code) | [i] | ✔ | |
23 | Linear OA(762, 16824, F7, 13) (dual of [16824, 16762, 14]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
24 | Linear OOA(761, 5602, F7, 3, 15) (dual of [(5602, 3), 16745, 16]-NRT-code) | [i] | OOA Folding |