Information on Result #1744238
Digital (37, 56, 43691)-net over F64, using net defined by OOA based on linear OOA(6456, 43691, F64, 21, 19) (dual of [(43691, 21), 917455, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(6456, 131074, F64, 3, 19) (dual of [(131074, 3), 393166, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6456, 131076, F64, 3, 19) (dual of [(131076, 3), 393172, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(6456, 131076, F64, 2, 19) (dual of [(131076, 2), 262096, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6456, 262152, F64, 19) (dual of [262152, 262096, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,8]) [i] based on
- linear OA(6455, 262145, F64, 19) (dual of [262145, 262090, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(6449, 262145, F64, 17) (dual of [262145, 262096, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(641, 7, F64, 1) (dual of [7, 6, 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([0,9]) ⊂ C([0,8]) [i] based on
- OOA 2-folding [i] based on linear OA(6456, 262152, F64, 19) (dual of [262152, 262096, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(6456, 131076, F64, 2, 19) (dual of [(131076, 2), 262096, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6456, 131076, F64, 3, 19) (dual of [(131076, 3), 393172, 20]-NRT-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.