Information on Result #1768797
Digital (174, 211, 5036)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3211, 5036, F3, 37) (dual of [5036, 4825, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(3211, 6581, F3, 37) (dual of [6581, 6370, 38]-code), using
- construction X applied to C([0,18]) ⊂ C([1,18]) [i] based on
- linear OA(3193, 6562, F3, 37) (dual of [6562, 6369, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(3192, 6562, F3, 18) (dual of [6562, 6370, 19]-code), using the narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(318, 19, F3, 18) (dual of [19, 1, 19]-code or 19-arc in PG(17,3)), using
- dual of repetition code with length 19 [i]
- construction X applied to C([0,18]) ⊂ C([1,18]) [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.