Information on Result #684504
Linear OA(757, 5764800, F7, 9) (dual of [5764800, 5764743, 10]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10
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 OOA(757, 3247515, F7, 2, 9) (dual of [(3247515, 2), 6494973, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(757, 3247515, F7, 3, 9) (dual of [(3247515, 3), 9742488, 10]-NRT-code) | [i] | ||
| 3 | Digital (48, 57, 3247515)-net over F7 | [i] | ||
| 4 | Linear OA(758, 5764811, F7, 9) (dual of [5764811, 5764753, 10]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |