Information on Result #1181922
Digital (231, 251, 838871)-net over F2, using net defined by OOA based on linear OOA(2251, 838871, F2, 25, 20) (dual of [(838871, 25), 20971524, 21]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2251, 1677743, F2, 5, 20) (dual of [(1677743, 5), 8388464, 21]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(221, 23, F2, 5, 10) (dual of [(23, 5), 94, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 21, 23)-net over F2, using
- 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(221, 23, F2, 5, 10) (dual of [(23, 5), 94, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and 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.