Information on Result #1811829
Digital (39, 78, 1456)-net over F64, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(6478, 1456, F64, 2, 39) (dual of [(1456, 2), 2834, 40]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6478, 2051, F64, 2, 39) (dual of [(2051, 2), 4024, 40]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6478, 4102, F64, 39) (dual of [4102, 4024, 40]-code), using
- construction X applied to C([0,19]) ⊂ C([0,18]) [i] based on
- linear OA(6477, 4097, F64, 39) (dual of [4097, 4020, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
- linear OA(6473, 4097, F64, 37) (dual of [4097, 4024, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (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([0,19]) ⊂ C([0,18]) [i] based on
- OOA 2-folding [i] based on linear OA(6478, 4102, F64, 39) (dual of [4102, 4024, 40]-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.