Information on Result #662455
Linear OA(4124, 16396, F4, 22) (dual of [16396, 16272, 23]-code), using (u, u+v)-construction based on
- linear OA(411, 12, F4, 11) (dual of [12, 1, 12]-code or 12-arc in PG(10,4)), using
- dual of repetition code with length 12 [i]
- 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(4124, 13943, F4, 2, 22) (dual of [(13943, 2), 27762, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4124, 13943, F4, 3, 22) (dual of [(13943, 3), 41705, 23]-NRT-code) | [i] | ||
| 3 | Digital (102, 124, 13943)-net over F4 | [i] | ||