Information on Result #1812043
Digital (43, 86, 1534)-net over F64, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(6486, 1534, F64, 2, 43) (dual of [(1534, 2), 2982, 44]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6486, 2051, F64, 2, 43) (dual of [(2051, 2), 4016, 44]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6486, 4102, F64, 43) (dual of [4102, 4016, 44]-code), using
- construction X applied to C([0,21]) ⊂ C([0,20]) [i] based on
- linear OA(6485, 4097, F64, 43) (dual of [4097, 4012, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
- linear OA(6481, 4097, F64, 41) (dual of [4097, 4016, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (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([0,21]) ⊂ C([0,20]) [i] based on
- OOA 2-folding [i] based on linear OA(6486, 4102, F64, 43) (dual of [4102, 4016, 44]-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.