Information on Result #1770480
Digital (189, 230, 4838)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3230, 4838, F3, 41) (dual of [4838, 4608, 42]-code), using
- discarding factors / shortening the dual code based on linear OA(3230, 6606, F3, 41) (dual of [6606, 6376, 42]-code), using
- 2 times code embedding in larger space [i] based on linear OA(3228, 6604, F3, 41) (dual of [6604, 6376, 42]-code), using
- construction X applied to Ce(40) ⊂ Ce(34) [i] based on
- linear OA(3217, 6561, F3, 41) (dual of [6561, 6344, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3185, 6561, F3, 35) (dual of [6561, 6376, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(311, 43, F3, 5) (dual of [43, 32, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to Ce(40) ⊂ Ce(34) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(3228, 6604, F3, 41) (dual of [6604, 6376, 42]-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.