Information on Result #2788818
Linear OOA(2240, 2097208, F2, 4, 19) (dual of [(2097208, 4), 8388592, 20]-NRT-code), using 21 times duplication based on linear OOA(2239, 2097208, F2, 4, 19) (dual of [(2097208, 4), 8388593, 20]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(231, 58, F2, 4, 9) (dual of [(58, 4), 201, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(210, 32, F2, 4, 4) (dual of [(32, 4), 118, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(210, 32, F2, 3, 4) (dual of [(32, 3), 86, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 10, 32)-net over F2, using
- appending kth column [i] based on linear OOA(210, 32, F2, 3, 4) (dual of [(32, 3), 86, 5]-NRT-code), using
- linear OOA(221, 29, F2, 4, 9) (dual of [(29, 4), 95, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (12, 21, 29)-net over F2, using
- linear OOA(210, 32, F2, 4, 4) (dual of [(32, 4), 118, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2208, 2097150, F2, 4, 19) (dual of [(2097150, 4), 8388392, 20]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2208, 8388600, F2, 19) (dual of [8388600, 8388392, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2208, large, F2, 19) (dual of [large, large−208, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- discarding factors / shortening the dual code based on linear OA(2208, large, F2, 19) (dual of [large, large−208, 20]-code), using
- OOA 4-folding [i] based on linear OA(2208, 8388600, F2, 19) (dual of [8388600, 8388392, 20]-code), using
- linear OOA(231, 58, F2, 4, 9) (dual of [(58, 4), 201, 10]-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.
Other Results with Identical Parameters
None.
Depending Results
None.