Information on Result #1117782
Linear OOA(3236, 1682645, F3, 5, 18) (dual of [(1682645, 5), 8412989, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(356, 4925, F3, 5, 9) (dual of [(4925, 5), 24569, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(356, 19701, F3, 9) (dual of [19701, 19645, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(356, 19703, F3, 9) (dual of [19703, 19647, 10]-code), using
- construction X applied to C([0,4]) ⊂ C([0,3]) [i] based on
- linear OA(355, 19684, F3, 9) (dual of [19684, 19629, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(337, 19684, F3, 7) (dual of [19684, 19647, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(31, 19, F3, 1) (dual of [19, 18, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,4]) ⊂ C([0,3]) [i] based on
- discarding factors / shortening the dual code based on linear OA(356, 19703, F3, 9) (dual of [19703, 19647, 10]-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(356, 19701, F3, 9) (dual of [19701, 19645, 10]-code), using
- linear OOA(3180, 1677720, F3, 5, 18) (dual of [(1677720, 5), 8388420, 19]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3180, 8388600, F3, 18) (dual of [8388600, 8388420, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(3180, large, F3, 18) (dual of [large, large−180, 19]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(3180, large, F3, 18) (dual of [large, large−180, 19]-code), using
- OOA 5-folding [i] based on linear OA(3180, 8388600, F3, 18) (dual of [8388600, 8388420, 19]-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.
Other Results with Identical Parameters
None.
Depending Results
None.