Information on Result #1727818
Digital (97, 114, 1944574)-net over F8, using net defined by OOA based on linear OOA(8114, 1944574, F8, 21, 17) (dual of [(1944574, 21), 40835940, 18]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8114, 5833723, F8, 3, 17) (dual of [(5833723, 3), 17501055, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8114, 5833724, F8, 3, 17) (dual of [(5833724, 3), 17501058, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8114, 5833724, F8, 17) (dual of [5833724, 5833610, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(8114, large, F8, 17) (dual of [large, large−114, 18]-code), using
- 1 times code embedding in larger space [i] based on linear OA(8113, large, F8, 17) (dual of [large, large−113, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- 1 times code embedding in larger space [i] based on linear OA(8113, large, F8, 17) (dual of [large, large−113, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(8114, large, F8, 17) (dual of [large, large−114, 18]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8114, 5833724, F8, 17) (dual of [5833724, 5833610, 18]-code), using
- discarding factors / shortening the dual code based on linear OOA(8114, 5833724, F8, 3, 17) (dual of [(5833724, 3), 17501058, 18]-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.