Information on Result #1193458
Digital (74, 85, 2796201)-net over F9, using net defined by OOA based on linear OOA(985, 2796201, F9, 15, 11) (dual of [(2796201, 15), 41942930, 12]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(985, 5592403, F9, 3, 11) (dual of [(5592403, 3), 16777124, 12]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(982, 5592402, F9, 3, 11) (dual of [(5592402, 3), 16777124, 12]-NRT-code), using
- trace code [i] based on linear OOA(8141, 2796201, F81, 3, 11) (dual of [(2796201, 3), 8388562, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8141, large, F81, 11) (dual of [large, large−41, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, 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(8141, large, F81, 11) (dual of [large, large−41, 12]-code), using
- trace code [i] based on linear OOA(8141, 2796201, F81, 3, 11) (dual of [(2796201, 3), 8388562, 12]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(982, 5592402, F9, 3, 11) (dual of [(5592402, 3), 16777124, 12]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (159, 170, 5592402)-net over F3 | [i] | Trace Code for Nets | |