Information on Result #1760313
Digital (240, 260, 1677761)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2260, 1677761, F2, 5, 20) (dual of [(1677761, 5), 8388545, 21]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(230, 41, F2, 5, 10) (dual of [(41, 5), 175, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(210, 20, F2, 5, 5) (dual of [(20, 5), 90, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(210, 20, F2, 4, 5) (dual of [(20, 4), 70, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 10, 20)-net over F2, using
- appending kth column [i] based on linear OOA(210, 20, F2, 4, 5) (dual of [(20, 4), 70, 6]-NRT-code), using
- linear OOA(220, 21, F2, 5, 10) (dual of [(21, 5), 85, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (10, 20, 21)-net over F2, using
- linear OOA(210, 20, F2, 5, 5) (dual of [(20, 5), 90, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2230, 1677720, F2, 5, 20) (dual of [(1677720, 5), 8388370, 21]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2230, 8388600, F2, 20) (dual of [8388600, 8388370, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(2230, large, F2, 20) (dual of [large, large−230, 21]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(2230, large, F2, 20) (dual of [large, large−230, 21]-code), using
- OOA 5-folding [i] based on linear OA(2230, 8388600, F2, 20) (dual of [8388600, 8388370, 21]-code), using
- linear OOA(230, 41, F2, 5, 10) (dual of [(41, 5), 175, 11]-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.