Information on Result #1210244
Digital (163, 176, 5594220)-net over F4, using (u, u+v)-construction based on
- digital (22, 28, 1820)-net over F4, using
- net defined by OOA [i] based on linear OOA(428, 1820, F4, 6, 6) (dual of [(1820, 6), 10892, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(428, 5460, F4, 6) (dual of [5460, 5432, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(428, 5461, F4, 6) (dual of [5461, 5433, 7]-code), using
- OA 3-folding and stacking [i] based on linear OA(428, 5460, F4, 6) (dual of [5460, 5432, 7]-code), using
- net defined by OOA [i] based on linear OOA(428, 1820, F4, 6, 6) (dual of [(1820, 6), 10892, 7]-NRT-code), using
- digital (135, 148, 5592400)-net over F4, using
- trace code for nets [i] based on digital (61, 74, 2796200)-net over F16, using
- net defined by OOA [i] based on linear OOA(1674, 2796200, F16, 14, 13) (dual of [(2796200, 14), 39146726, 14]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(1674, 8388601, F16, 2, 13) (dual of [(8388601, 2), 16777128, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1674, 8388602, F16, 2, 13) (dual of [(8388602, 2), 16777130, 14]-NRT-code), using
- trace code [i] based on linear OOA(25637, 4194301, F256, 2, 13) (dual of [(4194301, 2), 8388565, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25637, 8388602, F256, 13) (dual of [8388602, 8388565, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(25637, large, F256, 13) (dual of [large, large−37, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- discarding factors / shortening the dual code based on linear OA(25637, large, F256, 13) (dual of [large, large−37, 14]-code), using
- OOA 2-folding [i] based on linear OA(25637, 8388602, F256, 13) (dual of [8388602, 8388565, 14]-code), using
- trace code [i] based on linear OOA(25637, 4194301, F256, 2, 13) (dual of [(4194301, 2), 8388565, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1674, 8388602, F16, 2, 13) (dual of [(8388602, 2), 16777130, 14]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(1674, 8388601, F16, 2, 13) (dual of [(8388601, 2), 16777128, 14]-NRT-code), using
- net defined by OOA [i] based on linear OOA(1674, 2796200, F16, 14, 13) (dual of [(2796200, 14), 39146726, 14]-NRT-code), using
- trace code for nets [i] based on digital (61, 74, 2796200)-net over F16, 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.