Information on Result #3256721
Digital (146, 156, large)-net over F4, using 48 times duplication based on digital (138, 148, large)-net over F4, using
- (u, u+v)-construction [i] based on
- digital (32, 37, 4194301)-net over F4, using
- net defined by OOA [i] based on linear OOA(437, 4194301, F4, 5, 5) (dual of [(4194301, 5), 20971468, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(437, large, F4, 5) (dual of [large, large−37, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
- OOA 2-folding and stacking with additional row [i] based on linear OA(437, large, F4, 5) (dual of [large, large−37, 6]-code), using
- net defined by OOA [i] based on linear OOA(437, 4194301, F4, 5, 5) (dual of [(4194301, 5), 20971468, 6]-NRT-code), using
- digital (101, 111, 5033160)-net over F4, using
- trace code for nets [i] based on digital (27, 37, 1677720)-net over F64, using
- net defined by OOA [i] based on linear OOA(6437, 1677720, F64, 10, 10) (dual of [(1677720, 10), 16777163, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(6437, 8388600, F64, 10) (dual of [8388600, 8388563, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(6437, large, F64, 10) (dual of [large, large−37, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(6437, large, F64, 10) (dual of [large, large−37, 11]-code), using
- OA 5-folding and stacking [i] based on linear OA(6437, 8388600, F64, 10) (dual of [8388600, 8388563, 11]-code), using
- net defined by OOA [i] based on linear OOA(6437, 1677720, F64, 10, 10) (dual of [(1677720, 10), 16777163, 11]-NRT-code), using
- trace code for nets [i] based on digital (27, 37, 1677720)-net over F64, using
- digital (32, 37, 4194301)-net over F4, 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.