Information on Result #662515
Linear OA(4116, 65551, F4, 18) (dual of [65551, 65435, 19]-code), using (u, u+v)-construction based on
- linear OA(411, 15, F4, 9) (dual of [15, 4, 10]-code), using
- linear OA(4105, 65536, F4, 18) (dual of [65536, 65431, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, 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(4116, 48152, F4, 2, 18) (dual of [(48152, 2), 96188, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4116, 48152, F4, 3, 18) (dual of [(48152, 3), 144340, 19]-NRT-code) | [i] | ||
| 3 | Digital (98, 116, 48152)-net over F4 | [i] | ||