Information on Result #1181606
Digital (209, 227, 932075)-net over F2, using net defined by OOA based on linear OOA(2227, 932075, F2, 21, 18) (dual of [(932075, 21), 19573348, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2227, 2796226, F2, 3, 18) (dual of [(2796226, 3), 8388451, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2227, 2796227, F2, 3, 18) (dual of [(2796227, 3), 8388454, 19]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(220, 26, F2, 3, 9) (dual of [(26, 3), 58, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 20, 26)-net over F2, using
- linear OOA(2207, 2796201, F2, 3, 18) (dual of [(2796201, 3), 8388396, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2207, large, F2, 18) (dual of [large, large−207, 19]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- OOA 3-folding [i] based on linear OA(2207, large, F2, 18) (dual of [large, large−207, 19]-code), using
- linear OOA(220, 26, F2, 3, 9) (dual of [(26, 3), 58, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2227, 2796227, F2, 3, 18) (dual of [(2796227, 3), 8388454, 19]-NRT-code), using
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.