Information on Result #1709188
Digital (166, 180, 2097196)-net over F2, using net defined by OOA based on linear OOA(2180, 2097196, F2, 21, 14) (dual of [(2097196, 21), 44040936, 15]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2180, 2097197, F2, 7, 14) (dual of [(2097197, 7), 14680199, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2180, 2097197, F2, 4, 14) (dual of [(2097197, 4), 8388608, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(219, 47, F2, 4, 7) (dual of [(47, 4), 169, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (12, 19, 47)-net over F2, using
- linear OOA(2161, 2097150, F2, 4, 14) (dual of [(2097150, 4), 8388439, 15]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2161, 8388600, F2, 14) (dual of [8388600, 8388439, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- OOA 4-folding [i] based on linear OA(2161, 8388600, F2, 14) (dual of [8388600, 8388439, 15]-code), using
- linear OOA(219, 47, F2, 4, 7) (dual of [(47, 4), 169, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2180, 2097197, F2, 4, 14) (dual of [(2097197, 4), 8388608, 15]-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.