Information on Result #1200526
Digital (34, 44, 1153431)-net over F49, using net defined by OOA based on linear OOA(4944, 1153431, F49, 10, 10) (dual of [(1153431, 10), 11534266, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(4944, 5767155, F49, 10) (dual of [5767155, 5767111, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(4944, 5767158, F49, 10) (dual of [5767158, 5767114, 11]-code), using
- (u, u+v)-construction [i] based on
- linear OA(497, 2353, F49, 5) (dual of [2353, 2346, 6]-code), using
- linear OA(4937, 5764805, F49, 10) (dual of [5764805, 5764768, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(4937, 5764801, F49, 10) (dual of [5764801, 5764764, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(4933, 5764801, F49, 9) (dual of [5764801, 5764768, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(490, 4, F49, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(4944, 5767158, F49, 10) (dual of [5767158, 5767114, 11]-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 (78, 88, 2306862)-net over F7 | [i] | Trace Code for Nets | |