Information on Result #662513
Linear OA(4103, 16399, F4, 18) (dual of [16399, 16296, 19]-code), using (u, u+v)-construction based on
- linear OA(411, 15, F4, 9) (dual of [15, 4, 10]-code), using
- linear OA(492, 16384, F4, 18) (dual of [16384, 16292, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(4103, 15603, F4, 2, 18) (dual of [(15603, 2), 31103, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4103, 15603, F4, 3, 18) (dual of [(15603, 3), 46706, 19]-NRT-code) | [i] | ||
| 3 | Digital (85, 103, 15603)-net over F4 | [i] | ||