Information on Result #1692691
Linear OOA(2107, 4194452, F2, 8, 8) (dual of [(4194452, 8), 33555509, 9]-NRT-code), using appending kth column based on linear OOA(2107, 4194452, F2, 7, 8) (dual of [(4194452, 7), 29361057, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2107, 4194452, F2, 2, 8) (dual of [(4194452, 2), 8388797, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(215, 151, F2, 2, 4) (dual of [(151, 2), 287, 5]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(215, 151, F2, 4) (dual of [151, 136, 5]-code), using
- a “GB†code from Brouwer’s database [i]
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(215, 151, F2, 4) (dual of [151, 136, 5]-code), using
- linear OOA(292, 4194301, F2, 2, 8) (dual of [(4194301, 2), 8388510, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(292, 8388602, F2, 8) (dual of [8388602, 8388510, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(292, large, F2, 8) (dual of [large, large−92, 9]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(292, large, F2, 8) (dual of [large, large−92, 9]-code), using
- OOA 2-folding [i] based on linear OA(292, 8388602, F2, 8) (dual of [8388602, 8388510, 9]-code), using
- linear OOA(215, 151, F2, 2, 4) (dual of [(151, 2), 287, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
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 | Digital (99, 107, 4194452)-net over F2 | [i] | Net Defined by OOA | |