Information on Result #1718700
Digital (175, 195, 1940067)-net over F4, using net defined by OOA based on linear OOA(4195, 1940067, F4, 27, 20) (dual of [(1940067, 27), 52381614, 21]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4195, 7760269, F4, 3, 20) (dual of [(7760269, 3), 23280612, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4195, 7760270, F4, 3, 20) (dual of [(7760270, 3), 23280615, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4195, 7760270, F4, 20) (dual of [7760270, 7760075, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(4195, large, F4, 20) (dual of [large, large−195, 21]-code), using
- 15 times code embedding in larger space [i] based on linear OA(4180, large, F4, 20) (dual of [large, large−180, 21]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- 15 times code embedding in larger space [i] based on linear OA(4180, large, F4, 20) (dual of [large, large−180, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(4195, large, F4, 20) (dual of [large, large−195, 21]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4195, 7760270, F4, 20) (dual of [7760270, 7760075, 21]-code), using
- discarding factors / shortening the dual code based on linear OOA(4195, 7760270, F4, 3, 20) (dual of [(7760270, 3), 23280615, 21]-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.