Information on Result #614428
Linear OA(785, 117650, F7, 17) (dual of [117650, 117565, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 712−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound)
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(794, 117661, F7, 17) (dual of [117661, 117567, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(795, 117670, F7, 17) (dual of [117670, 117575, 18]-code) | [i] | ||
| 3 | Linear OA(797, 117678, F7, 17) (dual of [117678, 117581, 18]-code) | [i] | ||
| 4 | Linear OA(797, 117664, F7, 17) (dual of [117664, 117567, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(793, 117659, F7, 17) (dual of [117659, 117566, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(798, 117663, F7, 19) (dual of [117663, 117565, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(786, 117663, F7, 17) (dual of [117663, 117577, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(792, 117681, F7, 17) (dual of [117681, 117589, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(797, 117698, F7, 17) (dual of [117698, 117601, 18]-code) | [i] | ✔ | |