Information on Result #1719120
Digital (193, 216, 1055011)-net over F4, using net defined by OOA based on linear OOA(4216, 1055011, F4, 27, 23) (dual of [(1055011, 27), 28485081, 24]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4216, 4220045, F4, 3, 23) (dual of [(4220045, 3), 12659919, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4216, 4220046, F4, 3, 23) (dual of [(4220046, 3), 12659922, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4216, 4220046, F4, 23) (dual of [4220046, 4219830, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(4216, large, F4, 23) (dual of [large, large−216, 24]-code), using
- strength reduction [i] based on linear OA(4216, large, F4, 24) (dual of [large, large−216, 25]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- strength reduction [i] based on linear OA(4216, large, F4, 24) (dual of [large, large−216, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(4216, large, F4, 23) (dual of [large, large−216, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4216, 4220046, F4, 23) (dual of [4220046, 4219830, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(4216, 4220046, F4, 3, 23) (dual of [(4220046, 3), 12659922, 24]-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.