Information on Result #1769579
Digital (179, 220, 3641)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3220, 3641, F3, 41) (dual of [3641, 3421, 42]-code), using
- discarding factors / shortening the dual code based on linear OA(3220, 6574, F3, 41) (dual of [6574, 6354, 42]-code), using
- construction X applied to Ce(40) ⊂ Ce(37) [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(3201, 6561, F3, 38) (dual of [6561, 6360, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- construction X applied to Ce(40) ⊂ Ce(37) [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.