Information on Result #1770662
Digital (193, 232, 6640)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3232, 6640, F3, 39) (dual of [6640, 6408, 40]-code), using
- construction X applied to Ce(39) ⊂ Ce(28) [i] based on
- linear OA(3209, 6561, F3, 40) (dual of [6561, 6352, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(3153, 6561, F3, 29) (dual of [6561, 6408, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(323, 79, F3, 9) (dual of [79, 56, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(323, 82, F3, 9) (dual of [82, 59, 10]-code), using
- a “GraX†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(323, 82, F3, 9) (dual of [82, 59, 10]-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.