Information on Result #1189408
Digital (123, 144, 39068)-net over F5, using net defined by OOA based on linear OOA(5144, 39068, F5, 21, 21) (dual of [(39068, 21), 820284, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(5144, 390681, F5, 21) (dual of [390681, 390537, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(5144, 390688, F5, 21) (dual of [390688, 390544, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,6]) [i] based on
- linear OA(5129, 390626, F5, 21) (dual of [390626, 390497, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 516−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(581, 390626, F5, 13) (dual of [390626, 390545, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 516−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(515, 62, F5, 7) (dual of [62, 47, 8]-code), using
- construction X applied to C([0,10]) ⊂ C([0,6]) [i] based on
- discarding factors / shortening the dual code based on linear OA(5144, 390688, F5, 21) (dual of [390688, 390544, 22]-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.