Information on Result #1763769
Digital (112, 139, 2166)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3139, 2166, F3, 27) (dual of [2166, 2027, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(3139, 2228, F3, 27) (dual of [2228, 2089, 28]-code), using
- 2 times code embedding in larger space [i] based on linear OA(3137, 2226, F3, 27) (dual of [2226, 2089, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,10]) [i] based on
- linear OA(3127, 2188, F3, 27) (dual of [2188, 2061, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(399, 2188, F3, 21) (dual of [2188, 2089, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(310, 38, F3, 5) (dual of [38, 28, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(310, 39, F3, 5) (dual of [39, 29, 6]-code), using
- construction X applied to C([0,13]) ⊂ C([0,10]) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(3137, 2226, F3, 27) (dual of [2226, 2089, 28]-code), using
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.