Information on Result #2270823
Linear OA(4122, large, F4, 13) (dual of [large, large−122, 14]-code), using 13 times code embedding in larger space based on linear OA(4109, large, F4, 13) (dual of [large, large−109, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [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(4122, 6863605, F4, 2, 13) (dual of [(6863605, 2), 13727088, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4122, 6863605, F4, 3, 13) (dual of [(6863605, 3), 20590693, 14]-NRT-code) | [i] | ||
| 3 | Digital (109, 122, 6863605)-net over F4 | [i] | ||