Information on Result #1697388
Linear OOA(2111, 2796712, F2, 8, 9) (dual of [(2796712, 8), 22373585, 10]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2111, 2796712, F2, 3, 9) (dual of [(2796712, 3), 8390025, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(218, 511, F2, 3, 4) (dual of [(511, 3), 1515, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (14, 18, 511)-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(218, 511, F2, 3, 4) (dual of [(511, 3), 1515, 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(2111, 2796712, F2, 9, 9) (dual of [(2796712, 9), 25170297, 10]-NRT-code) | [i] | Appending kth Column | |