Information on Result #1009521
Linear OOA(2237, 2796250, F2, 3, 19) (dual of [(2796250, 3), 8388513, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(229, 49, F2, 3, 9) (dual of [(49, 3), 118, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(29, 23, F2, 3, 4) (dual of [(23, 3), 60, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 9, 23)-net over F2, using
- linear OOA(220, 26, F2, 3, 9) (dual of [(26, 3), 58, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 20, 26)-net over F2, using
- linear OOA(29, 23, F2, 3, 4) (dual of [(23, 3), 60, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- 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(2237, 1398125, F2, 6, 19) (dual of [(1398125, 6), 8388513, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2237, 932083, F2, 21, 19) (dual of [(932083, 21), 19573506, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |