Information on Result #1761865
Digital (83, 98, 10278)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(398, 10278, F3, 15) (dual of [10278, 10180, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(398, 19692, F3, 15) (dual of [19692, 19594, 16]-code), using
- construction X applied to C([0,7]) ⊂ C([1,7]) [i] based on
- linear OA(391, 19684, F3, 15) (dual of [19684, 19593, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(390, 19684, F3, 7) (dual of [19684, 19594, 8]-code), using the narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(37, 8, F3, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,3)), using
- dual of repetition code with length 8 [i]
- construction X applied to C([0,7]) ⊂ C([1,7]) [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.