Information on Result #1183830
Digital (99, 112, 265726)-net over F3, using net defined by OOA based on linear OOA(3112, 265726, F3, 13, 13) (dual of [(265726, 13), 3454326, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(3112, 1594357, F3, 13) (dual of [1594357, 1594245, 14]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3111, 1594356, F3, 13) (dual of [1594356, 1594245, 14]-code), using
- construction X applied to C([0,6]) ⊂ C([0,4]) [i] based on
- linear OA(3105, 1594324, F3, 13) (dual of [1594324, 1594219, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(379, 1594324, F3, 9) (dual of [1594324, 1594245, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(36, 32, F3, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to C([0,6]) ⊂ C([0,4]) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3111, 1594356, F3, 13) (dual of [1594356, 1594245, 14]-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
None.