Information on Result #1719140
Digital (203, 226, 2041517)-net over F4, using net defined by OOA based on linear OOA(4226, 2041517, F4, 27, 23) (dual of [(2041517, 27), 55120733, 24]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4226, 8166069, F4, 3, 23) (dual of [(8166069, 3), 24497981, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4226, 8166072, F4, 3, 23) (dual of [(8166072, 3), 24497990, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4226, 8166072, F4, 23) (dual of [8166072, 8165846, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(4226, large, F4, 23) (dual of [large, large−226, 24]-code), using
- 21 times code embedding in larger space [i] based on linear OA(4205, large, F4, 23) (dual of [large, large−205, 24]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- 21 times code embedding in larger space [i] based on linear OA(4205, large, F4, 23) (dual of [large, large−205, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(4226, large, F4, 23) (dual of [large, large−226, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4226, 8166072, F4, 23) (dual of [8166072, 8165846, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(4226, 8166072, F4, 3, 23) (dual of [(8166072, 3), 24497990, 24]-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.