Information on Result #1771417
Digital (196, 240, 4244)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3240, 4244, F3, 44) (dual of [4244, 4004, 45]-code), using
- discarding factors / shortening the dual code based on linear OA(3240, 6592, F3, 44) (dual of [6592, 6352, 45]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3239, 6591, F3, 44) (dual of [6591, 6352, 45]-code), using
- construction X applied to Ce(43) ⊂ Ce(39) [i] based on
- linear OA(3233, 6561, F3, 44) (dual of [6561, 6328, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- 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(36, 30, F3, 3) (dual of [30, 24, 4]-code or 30-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(43) ⊂ Ce(39) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3239, 6591, F3, 44) (dual of [6591, 6352, 45]-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.