Information on Result #1716914
Digital (198, 235, 2683)-net over F3, using net defined by OOA based on linear OOA(3235, 2683, F3, 45, 37) (dual of [(2683, 45), 120500, 38]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3235, 10733, F3, 5, 37) (dual of [(10733, 5), 53430, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3235, 10734, F3, 5, 37) (dual of [(10734, 5), 53435, 38]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3235, 10734, F3, 37) (dual of [10734, 10499, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(3235, 19703, F3, 37) (dual of [19703, 19468, 38]-code), using
- construction X applied to C([0,18]) ⊂ C([1,18]) [i] based on
- linear OA(3217, 19684, F3, 37) (dual of [19684, 19467, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(3216, 19684, F3, 18) (dual of [19684, 19468, 19]-code), using the narrow-sense BCH-code C(I) with length 19684 | 318−1, 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
- discarding factors / shortening the dual code based on linear OA(3235, 19703, F3, 37) (dual of [19703, 19468, 38]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3235, 10734, F3, 37) (dual of [10734, 10499, 38]-code), using
- discarding factors / shortening the dual code based on linear OOA(3235, 10734, F3, 5, 37) (dual of [(10734, 5), 53435, 38]-NRT-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.