Information on Result #3189591
Digital (222, 226, large)-net over F2, using t-expansion based on digital (221, 226, large)-net over F2, using
- 5 times m-reduction [i] based on digital (221, 231, large)-net over F2, using
- trace code for nets [i] based on digital (67, 77, 2796201)-net over F8, using
- net defined by OOA [i] based on linear OOA(877, 2796201, F8, 15, 10) (dual of [(2796201, 15), 41942938, 11]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(877, 5592403, F8, 3, 10) (dual of [(5592403, 3), 16777132, 11]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(874, 5592402, F8, 3, 10) (dual of [(5592402, 3), 16777132, 11]-NRT-code), using
- trace code [i] based on linear OOA(6437, 2796201, F64, 3, 10) (dual of [(2796201, 3), 8388566, 11]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(6437, large, F64, 10) (dual of [large, large−37, 11]-code), using
- trace code [i] based on linear OOA(6437, 2796201, F64, 3, 10) (dual of [(2796201, 3), 8388566, 11]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(874, 5592402, F8, 3, 10) (dual of [(5592402, 3), 16777132, 11]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(877, 5592403, F8, 3, 10) (dual of [(5592403, 3), 16777132, 11]-NRT-code), using
- net defined by OOA [i] based on linear OOA(877, 2796201, F8, 15, 10) (dual of [(2796201, 15), 41942938, 11]-NRT-code), using
- trace code for nets [i] based on digital (67, 77, 2796201)-net over F8, 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.