Information on Result #1181884
Digital (187, 207, 104862)-net over F2, using net defined by OOA based on linear OOA(2207, 104862, F2, 20, 20) (dual of [(104862, 20), 2097033, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(2207, 1048620, F2, 20) (dual of [1048620, 1048413, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(2207, 1048623, F2, 20) (dual of [1048623, 1048416, 21]-code), using
- 1 times truncation [i] based on linear OA(2208, 1048624, F2, 21) (dual of [1048624, 1048416, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,8]) [i] based on
- linear OA(2201, 1048577, F2, 21) (dual of [1048577, 1048376, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 240−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(2161, 1048577, F2, 17) (dual of [1048577, 1048416, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 240−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(27, 47, F2, 3) (dual of [47, 40, 4]-code or 47-cap in PG(6,2)), using
- discarding factors / shortening the dual code based on linear OA(27, 63, F2, 3) (dual of [63, 56, 4]-code or 63-cap in PG(6,2)), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 4 [i]
- discarding factors / shortening the dual code based on linear OA(27, 63, F2, 3) (dual of [63, 56, 4]-code or 63-cap in PG(6,2)), using
- construction X applied to C([0,10]) ⊂ C([0,8]) [i] based on
- 1 times truncation [i] based on linear OA(2208, 1048624, F2, 21) (dual of [1048624, 1048416, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2207, 1048623, F2, 20) (dual of [1048623, 1048416, 21]-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.