Information on Result #662456
Linear OA(4126, 16401, F4, 22) (dual of [16401, 16275, 23]-code), using (u, u+v)-construction based on
- linear OA(413, 17, F4, 11) (dual of [17, 4, 12]-code), using
- linear OA(4113, 16384, F4, 22) (dual of [16384, 16271, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(4126, 16019, F4, 2, 22) (dual of [(16019, 2), 31912, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4126, 16019, F4, 3, 22) (dual of [(16019, 3), 47931, 23]-NRT-code) | [i] | ||
| 3 | Digital (104, 126, 16019)-net over F4 | [i] | ||