Information on Result #1196060
Digital (41, 50, 2097638)-net over F25, using net defined by OOA based on linear OOA(2550, 2097638, F25, 10, 9) (dual of [(2097638, 10), 20976330, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2550, 4195277, F25, 2, 9) (dual of [(4195277, 2), 8390504, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(259, 976, F25, 2, 4) (dual of [(976, 2), 1943, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(259, 1952, F25, 4) (dual of [1952, 1943, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(259, 1953, F25, 4) (dual of [1953, 1944, 5]-code), using
- OOA 2-folding [i] based on linear OA(259, 1952, F25, 4) (dual of [1952, 1943, 5]-code), using
- linear OOA(2541, 4194301, F25, 2, 9) (dual of [(4194301, 2), 8388561, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2541, 8388602, F25, 9) (dual of [8388602, 8388561, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(2541, large, F25, 9) (dual of [large, large−41, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2541, large, F25, 9) (dual of [large, large−41, 10]-code), using
- OOA 2-folding [i] based on linear OA(2541, 8388602, F25, 9) (dual of [8388602, 8388561, 10]-code), using
- linear OOA(259, 976, F25, 2, 4) (dual of [(976, 2), 1943, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
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 (91, 100, 4195276)-net over F5 | [i] | Trace Code for Nets | |