Information on Result #1011927
Linear OOA(4144, 2796221, F4, 3, 15) (dual of [(2796221, 3), 8388519, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(411, 20, F4, 3, 7) (dual of [(20, 3), 49, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 11, 20)-net over F4, using
- linear OOA(4133, 2796201, F4, 3, 15) (dual of [(2796201, 3), 8388470, 16]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(4133, large, F4, 15) (dual of [large, large−133, 16]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, 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(4145, 2796221, F4, 3, 15) (dual of [(2796221, 3), 8388518, 16]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4146, 2796221, F4, 3, 15) (dual of [(2796221, 3), 8388517, 16]-NRT-code) | [i] | ||