Information on Result #1721064
Digital (188, 225, 5505)-net over F4, using net defined by OOA based on linear OOA(4225, 5505, F4, 39, 37) (dual of [(5505, 39), 214470, 38]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(4225, 33031, F4, 3, 37) (dual of [(33031, 3), 98868, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4225, 33034, F4, 3, 37) (dual of [(33034, 3), 98877, 38]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4225, 33034, F4, 37) (dual of [33034, 32809, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(4225, 65537, F4, 37) (dual of [65537, 65312, 38]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(4225, 65537, F4, 37) (dual of [65537, 65312, 38]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4225, 33034, F4, 37) (dual of [33034, 32809, 38]-code), using
- discarding factors / shortening the dual code based on linear OOA(4225, 33034, F4, 3, 37) (dual of [(33034, 3), 98877, 38]-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.