Information on Result #1200586
Digital (38, 49, 1153432)-net over F49, using net defined by OOA based on linear OOA(4949, 1153432, F49, 11, 11) (dual of [(1153432, 11), 12687703, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(4949, 5767161, F49, 11) (dual of [5767161, 5767112, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(4949, 5767164, F49, 11) (dual of [5767164, 5767115, 12]-code), using
- (u, u+v)-construction [i] based on
- linear OA(497, 2353, F49, 5) (dual of [2353, 2346, 6]-code), using
- linear OA(4942, 5764811, F49, 11) (dual of [5764811, 5764769, 12]-code), using
- construction X applied to C([0,5]) ⊂ C([0,4]) [i] based on
- linear OA(4941, 5764802, F49, 11) (dual of [5764802, 5764761, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 5764802 | 498−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(4933, 5764802, F49, 9) (dual of [5764802, 5764769, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 5764802 | 498−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(491, 9, F49, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,5]) ⊂ C([0,4]) [i] based on
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(4949, 5767164, F49, 11) (dual of [5767164, 5767115, 12]-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 (87, 98, 2306864)-net over F7 | [i] | Trace Code for Nets | |