Information on Result #1011877
Linear OOA(4120, 2796235, F4, 3, 13) (dual of [(2796235, 3), 8388585, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(411, 34, F4, 3, 6) (dual of [(34, 3), 91, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 11, 34)-net over F4, using
- linear OOA(4109, 2796201, F4, 3, 13) (dual of [(2796201, 3), 8388494, 14]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(4109, large, F4, 13) (dual of [large, large−109, 14]-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(4120, 2796235, F4, 3, 12) (dual of [(2796235, 3), 8388585, 13]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4121, 2796235, F4, 3, 13) (dual of [(2796235, 3), 8388584, 14]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(4120, 1398117, F4, 15, 13) (dual of [(1398117, 15), 20971635, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |