Information on Result #2271690
Linear OA(4178, large, F4, 19) (dual of [large, large−178, 20]-code), using 9 times code embedding in larger space based on linear OA(4169, large, F4, 19) (dual of [large, large−169, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [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(4178, 4439455, F4, 2, 19) (dual of [(4439455, 2), 8878732, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4178, 4439455, F4, 3, 19) (dual of [(4439455, 3), 13318187, 20]-NRT-code) | [i] | ||
| 3 | Digital (159, 178, 4439455)-net over F4 | [i] | ||