Information on Result #2272176
Linear OA(4223, large, F4, 23) (dual of [large, large−223, 24]-code), using 18 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(4223, 6698915, F4, 2, 23) (dual of [(6698915, 2), 13397607, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4223, 6698915, F4, 3, 23) (dual of [(6698915, 3), 20096522, 24]-NRT-code) | [i] | ||
| 3 | Digital (200, 223, 6698915)-net over F4 | [i] | ||