Information on Result #1205050
Digital (244, 255, large)-net over F2, using trace code for nets based on digital (74, 85, 2796201)-net over F8, using
- net defined by OOA [i] based on linear OOA(885, 2796201, F8, 15, 11) (dual of [(2796201, 15), 41942930, 12]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(885, 5592403, F8, 3, 11) (dual of [(5592403, 3), 16777124, 12]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(882, 5592402, F8, 3, 11) (dual of [(5592402, 3), 16777124, 12]-NRT-code), using
- trace code [i] based on linear OOA(6441, 2796201, F64, 3, 11) (dual of [(2796201, 3), 8388562, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6441, large, F64, 11) (dual of [large, large−41, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(6441, large, F64, 11) (dual of [large, large−41, 12]-code), using
- trace code [i] based on linear OOA(6441, 2796201, F64, 3, 11) (dual of [(2796201, 3), 8388562, 12]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(882, 5592402, F8, 3, 11) (dual of [(5592402, 3), 16777124, 12]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(885, 5592403, F8, 3, 11) (dual of [(5592403, 3), 16777124, 12]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (245, 255, large)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (246, 255, large)-net over F2 | [i] | ||
| 3 | Digital (247, 255, large)-net over F2 | [i] | ||
| 4 | Digital (248, 255, large)-net over F2 | [i] | ||
| 5 | Digital (249, 255, large)-net over F2 | [i] | ||
| 6 | Digital (250, 255, large)-net over F2 | [i] | ||
| 7 | Digital (251, 255, large)-net over F2 | [i] | ||
| 8 | Digital (252, 255, large)-net over F2 | [i] | ||
| 9 | Digital (245, 256, large)-net over F2 | [i] | Net Duplication | |
| 10 | Digital (246, 257, large)-net over F2 | [i] | ||
| 11 | Digital (247, 258, large)-net over F2 | [i] | ||
| 12 | Digital (248, 259, large)-net over F2 | [i] | ||
| 13 | Digital (249, 260, large)-net over F2 | [i] | ||
| 14 | Digital (244, 254, large)-net over F2 | [i] | m-Reduction | |
| 15 | Digital (244, 253, large)-net over F2 | [i] | ||
| 16 | Digital (244, 252, large)-net over F2 | [i] | ||
| 17 | Digital (244, 251, large)-net over F2 | [i] | ||
| 18 | Digital (244, 250, large)-net over F2 | [i] | ||
| 19 | Digital (244, 249, large)-net over F2 | [i] | ||
| 20 | Digital (244, 248, large)-net over F2 | [i] | ||
| 21 | Digital (244, 247, large)-net over F2 | [i] | ||