Information on Result #1744274
Digital (55, 74, 2164871)-net over F64, using net defined by OOA based on linear OOA(6474, 2164871, F64, 21, 19) (dual of [(2164871, 21), 45462217, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(6474, 6494614, F64, 3, 19) (dual of [(6494614, 3), 19483768, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6474, 6494615, F64, 3, 19) (dual of [(6494615, 3), 19483771, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6474, 6494615, F64, 19) (dual of [6494615, 6494541, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(6474, large, F64, 19) (dual of [large, large−74, 20]-code), using
- 1 times code embedding in larger space [i] based on linear OA(6473, large, F64, 19) (dual of [large, large−73, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- 1 times code embedding in larger space [i] based on linear OA(6473, large, F64, 19) (dual of [large, large−73, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(6474, large, F64, 19) (dual of [large, large−74, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6474, 6494615, F64, 19) (dual of [6494615, 6494541, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(6474, 6494615, F64, 3, 19) (dual of [(6494615, 3), 19483771, 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.