Information on Result #1767165
Digital (158, 191, 5186)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3191, 5186, F3, 33) (dual of [5186, 4995, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(3191, 6614, F3, 33) (dual of [6614, 6423, 34]-code), using
- construction X applied to Ce(33) ⊂ Ce(25) [i] based on
- linear OA(3177, 6561, F3, 34) (dual of [6561, 6384, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3137, 6561, F3, 26) (dual of [6561, 6424, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(314, 53, F3, 6) (dual of [53, 39, 7]-code), using
- construction X applied to Ce(33) ⊂ Ce(25) [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.