Information on Result #1590277
Linear OOA(2109, 2796458, F2, 4, 9) (dual of [(2796458, 4), 11185723, 10]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2109, 2796458, F2, 3, 9) (dual of [(2796458, 3), 8389265, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(216, 257, F2, 3, 4) (dual of [(257, 3), 755, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (12, 16, 257)-net over F2, using
- linear OOA(293, 2796201, F2, 3, 9) (dual of [(2796201, 3), 8388510, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(293, large, F2, 9) (dual of [large, large−93, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(293, large, F2, 9) (dual of [large, large−93, 10]-code), using
- linear OOA(216, 257, F2, 3, 4) (dual of [(257, 3), 755, 5]-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(2109, 2796457, F2, 5, 9) (dual of [(2796457, 5), 13982176, 10]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(2109, 2796457, F2, 6, 9) (dual of [(2796457, 6), 16778633, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(2109, 2796457, F2, 7, 9) (dual of [(2796457, 7), 19575090, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(2109, 2796457, F2, 8, 9) (dual of [(2796457, 8), 22371547, 10]-NRT-code) | [i] | ||