Information on Result #662433
Linear OA(4131, 16396, F4, 23) (dual of [16396, 16265, 24]-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(4120, 16384, F4, 23) (dual of [16384, 16264, 24]-code), using
- an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, 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(4131, 15415, F4, 2, 23) (dual of [(15415, 2), 30699, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4131, 15415, F4, 3, 23) (dual of [(15415, 3), 46114, 24]-NRT-code) | [i] | ||
| 3 | Digital (108, 131, 15415)-net over F4 | [i] | ||