Information on Result #1009482
Linear OOA(2234, 2796241, F2, 3, 18) (dual of [(2796241, 3), 8388489, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(227, 40, F2, 3, 9) (dual of [(40, 3), 93, 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(218, 20, F2, 3, 9) (dual of [(20, 3), 42, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (9, 18, 20)-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(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(2234, 1398120, F2, 6, 18) (dual of [(1398120, 6), 8388486, 19]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2234, 932080, F2, 21, 18) (dual of [(932080, 21), 19573446, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |