Information on Result #2851067
Linear OOA(3120, large, F3, 5, 4), using strength reduction based on linear OOA(3120, large, F3, 5, 8), using
- (u, u+v)-construction [i] based on
- linear OOA(34, 4, F3, 5, 4) (dual of [(4, 5), 16, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;16,3) [i]
- linear OOA(3116, 8388599, F3, 5, 8) (dual of [(8388599, 5), 41942879, 9]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(3116, 8388600, F3, 4, 8) (dual of [(8388600, 4), 33554284, 9]-NRT-code), using
- trace code [i] based on linear OOA(8129, 2097150, F81, 4, 8) (dual of [(2097150, 4), 8388571, 9]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8129, 8388600, F81, 8) (dual of [8388600, 8388571, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(8129, large, F81, 8) (dual of [large, large−29, 9]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(8129, large, F81, 8) (dual of [large, large−29, 9]-code), using
- OOA 4-folding [i] based on linear OA(8129, 8388600, F81, 8) (dual of [8388600, 8388571, 9]-code), using
- trace code [i] based on linear OOA(8129, 2097150, F81, 4, 8) (dual of [(2097150, 4), 8388571, 9]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(3116, 8388600, F3, 4, 8) (dual of [(8388600, 4), 33554284, 9]-NRT-code), using
- linear OOA(34, 4, F3, 5, 4) (dual of [(4, 5), 16, 5]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.