Information on Result #1782437
Digital (202, 230, 706185)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4230, 706185, F4, 28) (dual of [706185, 705955, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(4230, 1048655, F4, 28) (dual of [1048655, 1048425, 29]-code), using
- 3 times code embedding in larger space [i] based on linear OA(4227, 1048652, F4, 28) (dual of [1048652, 1048425, 29]-code), using
- construction X applied to Ce(28) ⊂ Ce(20) [i] based on
- linear OA(4211, 1048576, F4, 29) (dual of [1048576, 1048365, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4151, 1048576, F4, 21) (dual of [1048576, 1048425, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(416, 76, F4, 6) (dual of [76, 60, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(416, 85, F4, 6) (dual of [85, 69, 7]-code), using
- construction X applied to Ce(28) ⊂ Ce(20) [i] based on
- 3 times code embedding in larger space [i] based on linear OA(4227, 1048652, F4, 28) (dual of [1048652, 1048425, 29]-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.