Information on Result #2271554
Linear OA(4174, large, F4, 18) (dual of [large, large−174, 19]-code), using 17 times code embedding in larger space based on linear OA(4157, large, F4, 18) (dual of [large, large−157, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m 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(4174, 7331459, F4, 2, 18) (dual of [(7331459, 2), 14662744, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4174, 7331459, F4, 3, 18) (dual of [(7331459, 3), 21994203, 19]-NRT-code) | [i] | ||
| 3 | Digital (156, 174, 7331459)-net over F4 | [i] | ||