Information on Result #662329
Linear OA(4227, 262167, F4, 31) (dual of [262167, 261940, 32]-code), using (u, u+v)-construction based on
- linear OA(419, 23, F4, 15) (dual of [23, 4, 16]-code), using
- construction X applied to C1 ⊂ C2 with C1 a [17,1,16]-code [i] based on
- linear OA(4208, 262144, F4, 31) (dual of [262144, 261936, 32]-code), using
- an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(4227, 191366, F4, 2, 31) (dual of [(191366, 2), 382505, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4227, 191366, F4, 3, 31) (dual of [(191366, 3), 573871, 32]-NRT-code) | [i] | ||
| 3 | Digital (196, 227, 191366)-net over F4 | [i] | ||