Information on Result #1727972
Digital (55, 74, 2577)-net over F8, using net defined by OOA based on linear OOA(874, 2577, F8, 21, 19) (dual of [(2577, 21), 54043, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(874, 7732, F8, 3, 19) (dual of [(7732, 3), 23122, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(874, 7732, F8, 19) (dual of [7732, 7658, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(874, 8194, F8, 19) (dual of [8194, 8120, 20]-code), using
- trace code [i] based on linear OA(6437, 4097, F64, 19) (dual of [4097, 4060, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- trace code [i] based on linear OA(6437, 4097, F64, 19) (dual of [4097, 4060, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(874, 8194, F8, 19) (dual of [8194, 8120, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(874, 7732, F8, 19) (dual of [7732, 7658, 20]-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.