Information on Result #1718968
Digital (192, 214, 1786746)-net over F4, using net defined by OOA based on linear OOA(4214, 1786746, F4, 27, 22) (dual of [(1786746, 27), 48241928, 23]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4214, 7146985, F4, 3, 22) (dual of [(7146985, 3), 21440741, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4214, 7146986, F4, 3, 22) (dual of [(7146986, 3), 21440744, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4214, 7146986, F4, 22) (dual of [7146986, 7146772, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(4214, large, F4, 22) (dual of [large, large−214, 23]-code), using
- 21 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]
- 21 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(4214, large, F4, 22) (dual of [large, large−214, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4214, 7146986, F4, 22) (dual of [7146986, 7146772, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(4214, 7146986, F4, 3, 22) (dual of [(7146986, 3), 21440744, 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.