Information on Result #1009479
Linear OOA(2228, 2796230, F2, 3, 18) (dual of [(2796230, 3), 8388462, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(221, 29, F2, 3, 9) (dual of [(29, 3), 66, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (12, 21, 29)-net over F2, using
- linear OOA(2207, 2796201, F2, 3, 18) (dual of [(2796201, 3), 8388396, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2207, large, F2, 18) (dual of [large, large−207, 19]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- OOA 3-folding [i] based on linear OA(2207, large, F2, 18) (dual of [large, large−207, 19]-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(2231, 2796231, F2, 3, 18) (dual of [(2796231, 3), 8388462, 19]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2230, 2796230, F2, 3, 18) (dual of [(2796230, 3), 8388460, 19]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2228, 1398115, F2, 6, 18) (dual of [(1398115, 6), 8388462, 19]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2228, 932076, F2, 21, 18) (dual of [(932076, 21), 19573368, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |