Information on Result #662479
Linear OA(4116, 16395, F4, 21) (dual of [16395, 16279, 22]-code), using (u, u+v)-construction based on
- linear OA(410, 11, F4, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,4)), using
- dual of repetition code with length 11 [i]
- linear OA(4106, 16384, F4, 21) (dual of [16384, 16278, 22]-code), using
- an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(4116, 11630, F4, 2, 21) (dual of [(11630, 2), 23144, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4116, 11630, F4, 3, 21) (dual of [(11630, 3), 34774, 22]-NRT-code) | [i] | ||
| 3 | Digital (95, 116, 11630)-net over F4 | [i] | ||