Information on Result #1186916
Digital (187, 206, 1677720)-net over F4, using net defined by OOA based on linear OOA(4206, 1677720, F4, 22, 19) (dual of [(1677720, 22), 36909634, 20]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4206, 8388601, F4, 2, 19) (dual of [(8388601, 2), 16776996, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4206, 8388602, F4, 2, 19) (dual of [(8388602, 2), 16776998, 20]-NRT-code), using
- trace code [i] based on linear OOA(16103, 4194301, F16, 2, 19) (dual of [(4194301, 2), 8388499, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(16103, 8388602, F16, 19) (dual of [8388602, 8388499, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(16103, large, F16, 19) (dual of [large, large−103, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 166−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- discarding factors / shortening the dual code based on linear OA(16103, large, F16, 19) (dual of [large, large−103, 20]-code), using
- OOA 2-folding [i] based on linear OA(16103, 8388602, F16, 19) (dual of [8388602, 8388499, 20]-code), using
- trace code [i] based on linear OOA(16103, 4194301, F16, 2, 19) (dual of [(4194301, 2), 8388499, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4206, 8388602, F4, 2, 19) (dual of [(8388602, 2), 16776998, 20]-NRT-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.