Information on Result #1143823
Linear OOA(2232, 1398134, F2, 6, 18) (dual of [(1398134, 6), 8388572, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(225, 34, F2, 6, 9) (dual of [(34, 6), 179, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(28, 17, F2, 6, 4) (dual of [(17, 6), 94, 5]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(28, 17, F2, 4, 4) (dual of [(17, 4), 60, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(28, 17, F2, 3, 4) (dual of [(17, 3), 43, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 8, 17)-net over F2, using
- appending kth column [i] based on linear OOA(28, 17, F2, 3, 4) (dual of [(17, 3), 43, 5]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(28, 17, F2, 4, 4) (dual of [(17, 4), 60, 5]-NRT-code), using
- linear OOA(217, 17, F2, 6, 9) (dual of [(17, 6), 85, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (8, 17, 17)-net over F2, using
- linear OOA(28, 17, F2, 6, 4) (dual of [(17, 6), 94, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2207, 1398100, F2, 6, 18) (dual of [(1398100, 6), 8388393, 19]-NRT-code), using
- OOA 6-folding [i] based on linear OA(2207, 8388600, F2, 18) (dual of [8388600, 8388393, 19]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(2207, large, F2, 18) (dual of [large, large−207, 19]-code), using
- OOA 6-folding [i] based on linear OA(2207, 8388600, F2, 18) (dual of [8388600, 8388393, 19]-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.
Other Results with Identical Parameters
None.
Depending Results
None.