Information on Result #1718956
Digital (186, 208, 1178811)-net over F4, using net defined by OOA based on linear OOA(4208, 1178811, F4, 27, 22) (dual of [(1178811, 27), 31827689, 23]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4208, 4715245, F4, 3, 22) (dual of [(4715245, 3), 14145527, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4208, 4715247, F4, 3, 22) (dual of [(4715247, 3), 14145533, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4208, 4715247, F4, 22) (dual of [4715247, 4715039, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(4208, large, F4, 22) (dual of [large, large−208, 23]-code), using
- 15 times code embedding in larger space [i] based on linear OA(4193, large, F4, 22) (dual of [large, large−193, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- 15 times code embedding in larger space [i] based on linear OA(4193, large, F4, 22) (dual of [large, large−193, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(4208, large, F4, 22) (dual of [large, large−208, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4208, 4715247, F4, 22) (dual of [4715247, 4715039, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(4208, 4715247, F4, 3, 22) (dual of [(4715247, 3), 14145533, 23]-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.