Information on Result #1180818
Digital (206, 220, 1722657)-net over F2, using net defined by OOA based on linear OOA(2220, 1722657, F2, 21, 14) (dual of [(1722657, 21), 36175577, 15]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2220, 1722658, F2, 7, 14) (dual of [(1722658, 7), 12058386, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(259, 524287, F2, 7, 7) (dual of [(524287, 7), 3669950, 8]-NRT-code), using
- appending kth column [i] based on linear OOA(259, 524287, F2, 6, 7) (dual of [(524287, 6), 3145663, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (52, 59, 524287)-net over F2, using
- appending kth column [i] based on linear OOA(259, 524287, F2, 6, 7) (dual of [(524287, 6), 3145663, 8]-NRT-code), using
- linear OOA(2161, 1198371, F2, 7, 14) (dual of [(1198371, 7), 8388436, 15]-NRT-code), using
- OOA 7-folding [i] based on linear OA(2161, 8388597, F2, 14) (dual of [8388597, 8388436, 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 7-folding [i] based on linear OA(2161, 8388597, F2, 14) (dual of [8388597, 8388436, 15]-code), using
- linear OOA(259, 524287, F2, 7, 7) (dual of [(524287, 7), 3669950, 8]-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.