Information on Result #1718962
Digital (189, 211, 1451288)-net over F4, using net defined by OOA based on linear OOA(4211, 1451288, F4, 27, 22) (dual of [(1451288, 27), 39184565, 23]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4211, 5805153, F4, 3, 22) (dual of [(5805153, 3), 17415248, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4211, 5805154, F4, 3, 22) (dual of [(5805154, 3), 17415251, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4211, 5805154, F4, 22) (dual of [5805154, 5804943, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(4211, large, F4, 22) (dual of [large, large−211, 23]-code), using
- 18 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]
- 18 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(4211, large, F4, 22) (dual of [large, large−211, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4211, 5805154, F4, 22) (dual of [5805154, 5804943, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(4211, 5805154, F4, 3, 22) (dual of [(5805154, 3), 17415251, 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.