Information on Result #2272172
Linear OA(4219, large, F4, 23) (dual of [large, large−219, 24]-code), using 14 times code embedding in larger space based on linear OA(4205, large, F4, 23) (dual of [large, large−205, 24]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [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(4219, 5144297, F4, 2, 23) (dual of [(5144297, 2), 10288375, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4219, 5144297, F4, 3, 23) (dual of [(5144297, 3), 15432672, 24]-NRT-code) | [i] | ||
| 3 | Digital (196, 219, 5144297)-net over F4 | [i] | ||