Information on Result #2997103
Linear OOA(2230, 1048604, F2, 8, 18) (dual of [(1048604, 8), 8388602, 19]-NRT-code), using 22 times duplication based on linear OOA(2228, 1048604, F2, 8, 18) (dual of [(1048604, 8), 8388604, 19]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(221, 29, F2, 8, 9) (dual of [(29, 8), 211, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (12, 21, 29)-net over F2, using
- linear OOA(2207, 1048575, F2, 8, 18) (dual of [(1048575, 8), 8388393, 19]-NRT-code), using
- OOA 8-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 8-folding [i] based on linear OA(2207, 8388600, F2, 18) (dual of [8388600, 8388393, 19]-code), using
- linear OOA(221, 29, F2, 8, 9) (dual of [(29, 8), 211, 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.