Information on Result #2271921
Linear OA(4199, large, F4, 21) (dual of [large, large−199, 22]-code), using 18 times code embedding in larger space based on linear OA(4181, large, F4, 21) (dual of [large, large−181, 22]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [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(4199, 4968117, F4, 2, 21) (dual of [(4968117, 2), 9936035, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4199, 4968117, F4, 3, 21) (dual of [(4968117, 3), 14904152, 22]-NRT-code) | [i] | ||
| 3 | Digital (178, 199, 4968117)-net over F4 | [i] | ||