Information on Result #662164
Linear OA(4186, 1048592, F4, 23) (dual of [1048592, 1048406, 24]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(47, 8, F4, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,4)), using
- dual of repetition code with length 8 [i]
- linear OA(48, 8, F4, 8) (dual of [8, 0, 9]-code or 8-arc in PG(7,4)), using
- linear OA(4171, 1048576, F4, 23) (dual of [1048576, 1048405, 24]-code), using
- an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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, 582399, F4, 2, 23) (dual of [(582399, 2), 1164612, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4186, 582399, F4, 3, 23) (dual of [(582399, 3), 1747011, 24]-NRT-code) | [i] | ||
| 3 | Digital (163, 186, 582399)-net over F4 | [i] | ||