Information on Result #662325
Linear OA(4204, 65559, F4, 31) (dual of [65559, 65355, 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(4185, 65536, F4, 31) (dual of [65536, 65351, 32]-code), using
- an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, 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(4204, 63718, F4, 2, 31) (dual of [(63718, 2), 127232, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4204, 63718, F4, 3, 31) (dual of [(63718, 3), 190950, 32]-NRT-code) | [i] | ||
| 3 | Digital (173, 204, 63718)-net over F4 | [i] | ||