Information on Result #3265598
Digital (73, 96, 48315)-net over F27, using 272 times duplication based on digital (71, 94, 48315)-net over F27, using
- net defined by OOA [i] based on linear OOA(2794, 48315, F27, 23, 23) (dual of [(48315, 23), 1111151, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(2794, 531466, F27, 23) (dual of [531466, 531372, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(2794, 531470, F27, 23) (dual of [531470, 531376, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,8]) [i] based on
- linear OA(2789, 531442, F27, 23) (dual of [531442, 531353, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(2765, 531442, F27, 17) (dual of [531442, 531377, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- 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]
- construction X applied to C([0,11]) ⊂ C([0,8]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2794, 531470, F27, 23) (dual of [531470, 531376, 24]-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(2794, 531466, F27, 23) (dual of [531466, 531372, 24]-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.