Information on Result #618481
Linear OA(4919, 117650, F49, 7) (dual of [117650, 117631, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 496−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (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(738, 235300, F7, 7) (dual of [235300, 235262, 8]-code) | [i] | Trace Code | |
| 2 | Linear OA(4922, 117700, F49, 7) (dual of [117700, 117678, 8]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4923, 120052, F49, 7) (dual of [120052, 120029, 8]-code) | [i] | ||
| 4 | Linear OA(4924, 123600, F49, 7) (dual of [123600, 123576, 8]-code) | [i] | ||
| 5 | Linear OA(4924, 117750, F49, 7) (dual of [117750, 117726, 8]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 6 | Linear OA(4922, 117654, F49, 7) (dual of [117654, 117632, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(4926, 117657, F49, 9) (dual of [117657, 117631, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(4920, 117657, F49, 7) (dual of [117657, 117637, 8]-code) | [i] | ✔ | |
| 9 | Linear OA(4934, 117665, F49, 11) (dual of [117665, 117631, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(4942, 117673, F49, 13) (dual of [117673, 117631, 14]-code) | [i] | ✔ | |
| 11 | Linear OA(4920, 117658, F49, 7) (dual of [117658, 117638, 8]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |