Information on Result #3251515
Digital (228, 257, 18726)-net over F2, using 21 times duplication based on digital (227, 256, 18726)-net over F2, using
- net defined by OOA [i] based on linear OOA(2256, 18726, F2, 29, 29) (dual of [(18726, 29), 542798, 30]-NRT-code), using
- OOA 14-folding and stacking with additional row [i] based on linear OA(2256, 262165, F2, 29) (dual of [262165, 261909, 30]-code), using
- 2 times code embedding in larger space [i] based on linear OA(2254, 262163, F2, 29) (dual of [262163, 261909, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(26) [i] based on
- linear OA(2253, 262144, F2, 29) (dual of [262144, 261891, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2235, 262144, F2, 27) (dual of [262144, 261909, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(21, 19, F2, 1) (dual of [19, 18, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(28) ⊂ Ce(26) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(2254, 262163, F2, 29) (dual of [262163, 261909, 30]-code), using
- OOA 14-folding and stacking with additional row [i] based on linear OA(2256, 262165, F2, 29) (dual of [262165, 261909, 30]-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.