Information on Result #3254650
Digital (132, 158, 1515)-net over F3, using 31 times duplication based on digital (131, 157, 1515)-net over F3, using
- net defined by OOA [i] based on linear OOA(3157, 1515, F3, 26, 26) (dual of [(1515, 26), 39233, 27]-NRT-code), using
- OA 13-folding and stacking [i] based on linear OA(3157, 19695, F3, 26) (dual of [19695, 19538, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(3157, 19696, F3, 26) (dual of [19696, 19539, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(22) [i] based on
- linear OA(3154, 19683, F3, 26) (dual of [19683, 19529, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3136, 19683, F3, 23) (dual of [19683, 19547, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- construction X applied to Ce(25) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(3157, 19696, F3, 26) (dual of [19696, 19539, 27]-code), using
- OA 13-folding and stacking [i] based on linear OA(3157, 19695, F3, 26) (dual of [19695, 19538, 27]-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.