Information on Result #1760743
Digital (44, 59, 370)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(359, 370, F3, 15) (dual of [370, 311, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(359, 375, F3, 15) (dual of [375, 316, 16]-code), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- linear OA(358, 365, F3, 16) (dual of [365, 307, 17]-code), using an extension Ce(15) of the narrow-sense BCH-code C(I) with length 364 | 36−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(349, 365, F3, 13) (dual of [365, 316, 14]-code), using an extension Ce(12) of the narrow-sense BCH-code C(I) with length 364 | 36−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(31, 10, F3, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(12) [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.