Information on Result #614410
Linear OA(7105, 5764801, F7, 16) (dual of [5764801, 5764696, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16
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(7105, 5764809, F7, 16) (dual of [5764809, 5764704, 17]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(7108, 5764820, F7, 16) (dual of [5764820, 5764712, 17]-code) | [i] | ✔ | |
| 3 | Linear OA(7109, 5764829, F7, 16) (dual of [5764829, 5764720, 17]-code) | [i] | ✔ | |
| 4 | Linear OA(7107, 5764812, F7, 16) (dual of [5764812, 5764705, 17]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(7110, 5764831, F7, 16) (dual of [5764831, 5764721, 17]-code) | [i] | ✔ | |