Information on Result #662364
Linear OA(4186, 65556, F4, 29) (dual of [65556, 65370, 30]-code), using (u, u+v)-construction based on
- linear OA(417, 20, F4, 14) (dual of [20, 3, 15]-code), using
- 1 times truncation [i] based on linear OA(418, 21, F4, 15) (dual of [21, 3, 16]-code), using
- Simplex code S(3,4) [i]
- 1 times truncation [i] based on linear OA(418, 21, F4, 15) (dual of [21, 3, 16]-code), using
- linear OA(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using
- an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
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(4186, 48565, F4, 2, 29) (dual of [(48565, 2), 96944, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4186, 48565, F4, 3, 29) (dual of [(48565, 3), 145509, 30]-NRT-code) | [i] | ||
| 3 | Digital (157, 186, 48565)-net over F4 | [i] | ||