Information on Result #1772925
Digital (40, 59, 259)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(459, 259, F4, 19) (dual of [259, 200, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(459, 270, F4, 19) (dual of [270, 211, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(14) [i] based on
- linear OA(455, 256, F4, 19) (dual of [256, 201, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(445, 256, F4, 15) (dual of [256, 211, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(44, 14, F4, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,4)), using
- construction X applied to Ce(18) ⊂ Ce(14) [i] based on
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.