Information on Result #1184646
Digital (98, 117, 2190)-net over F3, using net defined by OOA based on linear OOA(3117, 2190, F3, 19, 19) (dual of [(2190, 19), 41493, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(3117, 19711, F3, 19) (dual of [19711, 19594, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3117, 19712, F3, 19) (dual of [19712, 19595, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,6]) [i] based on
- linear OA(3109, 19684, F3, 19) (dual of [19684, 19575, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(373, 19684, F3, 13) (dual of [19684, 19611, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- construction X applied to C([0,9]) ⊂ C([0,6]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3117, 19712, F3, 19) (dual of [19712, 19595, 20]-code), using
Mode: Constructive and 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
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Digital (98, 116, 2190)-net over F3 | [i] | m-Reduction |