Information on Result #2271132
Linear OA(4142, large, F4, 15) (dual of [large, large−142, 16]-code), using 9 times code embedding in larger space based on linear OA(4133, large, F4, 15) (dual of [large, large−133, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [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(4142, 6402057, F4, 2, 15) (dual of [(6402057, 2), 12803972, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4142, 6402057, F4, 3, 15) (dual of [(6402057, 3), 19206029, 16]-NRT-code) | [i] | ||
| 3 | Digital (127, 142, 6402057)-net over F4 | [i] | ||