Information on Result #1631723
Linear OOA(2123, 2796211, F2, 5, 10) (dual of [(2796211, 5), 13980932, 11]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2123, 2796211, F2, 3, 10) (dual of [(2796211, 3), 8388510, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(28, 10, F2, 3, 5) (dual of [(10, 3), 22, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 8, 10)-net over F2, using
- linear OOA(2115, 2796201, F2, 3, 10) (dual of [(2796201, 3), 8388488, 11]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2115, large, F2, 10) (dual of [large, large−115, 11]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- OOA 3-folding [i] based on linear OA(2115, large, F2, 10) (dual of [large, large−115, 11]-code), using
- linear OOA(28, 10, F2, 3, 5) (dual of [(10, 3), 22, 6]-NRT-code), using
Mode: 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(2123, 2796210, F2, 6, 10) (dual of [(2796210, 6), 16777137, 11]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(2123, 2796210, F2, 7, 10) (dual of [(2796210, 7), 19573347, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(2123, 2796210, F2, 8, 10) (dual of [(2796210, 8), 22369557, 11]-NRT-code) | [i] | ||
| 4 | Linear OOA(2123, 2796210, F2, 15, 10) (dual of [(2796210, 15), 41943027, 11]-NRT-code) | [i] | ||