Information on Result #1009516
Linear OOA(2229, 2796230, F2, 3, 19) (dual of [(2796230, 3), 8388461, 20]-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(2208, 2796201, F2, 3, 19) (dual of [(2796201, 3), 8388395, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2208, large, F2, 19) (dual of [large, large−208, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- OOA 3-folding [i] based on linear OA(2208, large, F2, 19) (dual of [large, large−208, 20]-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(2229, 2796230, F2, 3, 18) (dual of [(2796230, 3), 8388461, 19]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2232, 2796231, F2, 3, 19) (dual of [(2796231, 3), 8388461, 20]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2230, 2796230, F2, 3, 19) (dual of [(2796230, 3), 8388460, 20]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2231, 2796230, F2, 3, 19) (dual of [(2796230, 3), 8388459, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(2229, 1398115, F2, 6, 19) (dual of [(1398115, 6), 8388461, 20]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2229, 932076, F2, 21, 19) (dual of [(932076, 21), 19573367, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |