Information on Result #1197540
Digital (15, 26, 151)-net over F27, using net defined by OOA based on linear OOA(2726, 151, F27, 11, 11) (dual of [(151, 11), 1635, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(2726, 756, F27, 11) (dual of [756, 730, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2726, 758, F27, 11) (dual of [758, 732, 12]-code), using
- (u, u+v)-construction [i] based on
- linear OA(275, 28, F27, 5) (dual of [28, 23, 6]-code or 28-arc in PG(4,27)), using
- extended Reed–Solomon code RSe(23,27) [i]
- the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(2721, 730, F27, 11) (dual of [730, 709, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(275, 28, F27, 5) (dual of [28, 23, 6]-code or 28-arc in PG(4,27)), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(2726, 758, F27, 11) (dual of [758, 732, 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
None.