Information on Result #1184686
Digital (137, 156, 59055)-net over F3, using net defined by OOA based on linear OOA(3156, 59055, F3, 19, 19) (dual of [(59055, 19), 1121889, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(3156, 531496, F3, 19) (dual of [531496, 531340, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3156, 531501, F3, 19) (dual of [531501, 531345, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,6]) [i] based on
- linear OA(3145, 531442, F3, 19) (dual of [531442, 531297, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(397, 531442, F3, 13) (dual of [531442, 531345, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(311, 59, F3, 5) (dual of [59, 48, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to C([0,9]) ⊂ C([0,6]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3156, 531501, F3, 19) (dual of [531501, 531345, 20]-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.