Information on Result #1712254
Digital (17, 24, 199)-net over F3, using net defined by OOA based on linear OOA(324, 199, F3, 9, 7) (dual of [(199, 9), 1767, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(324, 200, F3, 3, 7) (dual of [(200, 3), 576, 8]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(324, 200, F3, 7) (dual of [200, 176, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(324, 248, F3, 7) (dual of [248, 224, 8]-code), using
- construction X applied to C([0,3]) ⊂ C([1,3]) [i] based on
- linear OA(321, 244, F3, 7) (dual of [244, 223, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 244 | 310−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(320, 244, F3, 3) (dual of [244, 224, 4]-code or 244-cap in PG(19,3)), using the narrow-sense BCH-code C(I) with length 244 | 310−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(33, 4, F3, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,3) or 4-cap in PG(2,3)), using
- dual of repetition code with length 4 [i]
- oval in PG(2, 3) [i]
- construction X applied to C([0,3]) ⊂ C([1,3]) [i] based on
- discarding factors / shortening the dual code based on linear OA(324, 248, F3, 7) (dual of [248, 224, 8]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(324, 200, F3, 7) (dual of [200, 176, 8]-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.