Information on Result #618460
Linear OA(4913, 117650, F49, 5) (dual of [117650, 117637, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 496−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (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(726, 235300, F7, 5) (dual of [235300, 235274, 6]-code) | [i] | Trace Code | |
| 2 | Linear OA(4915, 117700, F49, 5) (dual of [117700, 117685, 6]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4916, 120101, F49, 5) (dual of [120101, 120085, 6]-code) | [i] | ||
| 4 | Linear OA(4920, 5764850, F49, 5) (dual of [5764850, 5764830, 6]-code) | [i] | Generalized (u, u+v)-Construction | |
| 5 | Linear OA(4915, 117653, F49, 5) (dual of [117653, 117638, 6]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(4920, 117657, F49, 7) (dual of [117657, 117637, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(4914, 117657, F49, 5) (dual of [117657, 117643, 6]-code) | [i] | ✔ | |
| 8 | Linear OA(4928, 117665, F49, 9) (dual of [117665, 117637, 10]-code) | [i] | ✔ | |
| 9 | Linear OA(4920, 117658, F49, 7) (dual of [117658, 117638, 8]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 10 | Linear OA(4914, 117658, F49, 5) (dual of [117658, 117644, 6]-code) | [i] | ✔ | |