Information on Result #1185246
Digital (165, 190, 14767)-net over F3, using net defined by OOA based on linear OOA(3190, 14767, F3, 25, 25) (dual of [(14767, 25), 368985, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(3190, 177205, F3, 25) (dual of [177205, 177015, 26]-code), using
- 2 times code embedding in larger space [i] based on linear OA(3188, 177203, F3, 25) (dual of [177203, 177015, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- linear OA(3177, 177148, F3, 25) (dual of [177148, 176971, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(3133, 177148, F3, 19) (dual of [177148, 177015, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(311, 55, F3, 5) (dual of [55, 44, 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([0,12]) ⊂ C([0,9]) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(3188, 177203, F3, 25) (dual of [177203, 177015, 26]-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.