Information on Result #1764991
Digital (135, 160, 9868)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3160, 9868, F3, 2, 25) (dual of [(9868, 2), 19576, 26]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3160, 19736, F3, 25) (dual of [19736, 19576, 26]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(3156, 19731, F3, 25) (dual of [19731, 19575, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- linear OA(3145, 19684, F3, 25) (dual of [19684, 19539, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(3109, 19684, F3, 19) (dual of [19684, 19575, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(311, 47, F3, 5) (dual of [47, 36, 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
- linear OA(3156, 19732, F3, 21) (dual of [19732, 19576, 22]-code), using Gilbert–Varšamov bound and bm = 3156 > Vbs−1(k−1) = 34 158136 811949 666590 038157 562196 478848 675826 877445 383937 514472 917179 252699 [i]
- linear OA(33, 4, F3, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,3) or 4-cap in PG(2,3)), using
- dual of repetition code with length 4 [i]
- oval in PG(2, 3) [i]
- linear OA(3156, 19731, F3, 25) (dual of [19731, 19575, 26]-code), using
- construction X with Varšamov bound [i] based on
Mode: 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.