Information on Result #1117785
Linear OOA(3240, 1692481, F3, 5, 18) (dual of [(1692481, 5), 8462165, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(360, 14761, F3, 5, 9) (dual of [(14761, 5), 73745, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(360, 59045, F3, 9) (dual of [59045, 58985, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(360, 59048, F3, 9) (dual of [59048, 58988, 10]-code), using
- the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(360, 59048, F3, 9) (dual of [59048, 58988, 10]-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(360, 59045, F3, 9) (dual of [59045, 58985, 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.