Information on Result #1718404
Digital (153, 171, 1884441)-net over F4, using net defined by OOA based on linear OOA(4171, 1884441, F4, 21, 18) (dual of [(1884441, 21), 39573090, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4171, 5653324, F4, 3, 18) (dual of [(5653324, 3), 16959801, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4171, 5653325, F4, 3, 18) (dual of [(5653325, 3), 16959804, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4171, 5653325, F4, 18) (dual of [5653325, 5653154, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(4171, large, F4, 18) (dual of [large, large−171, 19]-code), using
- 14 times code embedding in larger space [i] based on linear OA(4157, large, F4, 18) (dual of [large, large−157, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- 14 times code embedding in larger space [i] based on linear OA(4157, large, F4, 18) (dual of [large, large−157, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(4171, large, F4, 18) (dual of [large, large−171, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4171, 5653325, F4, 18) (dual of [5653325, 5653154, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(4171, 5653325, F4, 3, 18) (dual of [(5653325, 3), 16959804, 19]-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.