Information on Result #1811046
Digital (17, 34, 1367)-net over F64, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(6434, 1367, F64, 3, 17) (dual of [(1367, 3), 4067, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6434, 4101, F64, 17) (dual of [4101, 4067, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(6434, 4102, F64, 17) (dual of [4102, 4068, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
- linear OA(6433, 4097, F64, 17) (dual of [4097, 4064, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(6429, 4097, F64, 15) (dual of [4097, 4068, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(641, 5, F64, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
- discarding factors / shortening the dual code based on linear OA(6434, 4102, F64, 17) (dual of [4102, 4068, 18]-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.