Information on Result #1198154
Digital (53, 72, 2268)-net over F27, using net defined by OOA based on linear OOA(2772, 2268, F27, 19, 19) (dual of [(2268, 19), 43020, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(2772, 20413, F27, 19) (dual of [20413, 20341, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2772, 20414, F27, 19) (dual of [20414, 20342, 20]-code), using
- (u, u+v)-construction [i] based on
- linear OA(2717, 730, F27, 9) (dual of [730, 713, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(2755, 19684, F27, 19) (dual of [19684, 19629, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(2717, 730, F27, 9) (dual of [730, 713, 10]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(2772, 20414, F27, 19) (dual of [20414, 20342, 20]-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
None.