Information on Result #1131616
Linear OOA(2225, 1398110, F2, 6, 18) (dual of [(1398110, 6), 8388435, 19]-NRT-code), using OOA 2-folding based on linear OOA(2225, 2796220, F2, 3, 18) (dual of [(2796220, 3), 8388435, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2225, 2796221, F2, 3, 18) (dual of [(2796221, 3), 8388438, 19]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(218, 20, F2, 3, 9) (dual of [(20, 3), 42, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (9, 18, 20)-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(218, 20, F2, 3, 9) (dual of [(20, 3), 42, 10]-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.
Other Results with Identical Parameters
None.
Depending Results
None.