Information on Result #1769850
Digital (185, 223, 6217)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3223, 6217, F3, 38) (dual of [6217, 5994, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(3223, 6631, F3, 38) (dual of [6631, 6408, 39]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3222, 6630, F3, 38) (dual of [6630, 6408, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(28) [i] based on
- 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(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(321, 69, F3, 8) (dual of [69, 48, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(321, 80, F3, 8) (dual of [80, 59, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(321, 80, F3, 8) (dual of [80, 59, 9]-code), using
- construction X applied to Ce(37) ⊂ Ce(28) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3222, 6630, F3, 38) (dual of [6630, 6408, 39]-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.