Information on Result #1771811
Digital (199, 244, 4154)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3244, 4154, F3, 45) (dual of [4154, 3910, 46]-code), using
- discarding factors / shortening the dual code based on linear OA(3244, 6581, F3, 45) (dual of [6581, 6337, 46]-code), using
- 2 times code embedding in larger space [i] based on linear OA(3242, 6579, F3, 45) (dual of [6579, 6337, 46]-code), using
- construction X applied to C([0,22]) ⊂ C([0,21]) [i] based on
- linear OA(3241, 6562, F3, 45) (dual of [6562, 6321, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
- linear OA(3225, 6562, F3, 43) (dual of [6562, 6337, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
- linear OA(31, 17, F3, 1) (dual of [17, 16, 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 C([0,22]) ⊂ C([0,21]) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(3242, 6579, F3, 45) (dual of [6579, 6337, 46]-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.