Information on Result #1215043
Digital (47, 55, 524315)-net over F8, using (u, u+v)-construction based on
- digital (2, 6, 28)-net over F8, using
- net defined by OOA [i] based on linear OOA(86, 28, F8, 4, 4) (dual of [(28, 4), 106, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(86, 28, F8, 3, 4) (dual of [(28, 3), 78, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- 1 times truncation [i] based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- OA 2-folding and stacking [i] based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- appending kth column [i] based on linear OOA(86, 28, F8, 3, 4) (dual of [(28, 3), 78, 5]-NRT-code), using
- net defined by OOA [i] based on linear OOA(86, 28, F8, 4, 4) (dual of [(28, 4), 106, 5]-NRT-code), using
- digital (41, 49, 524287)-net over F8, using
- net defined by OOA [i] based on linear OOA(849, 524287, F8, 8, 8) (dual of [(524287, 8), 4194247, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(849, 2097148, F8, 8) (dual of [2097148, 2097099, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(849, 2097151, F8, 8) (dual of [2097151, 2097102, 9]-code), using
- the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(849, 2097151, F8, 8) (dual of [2097151, 2097102, 9]-code), using
- OA 4-folding and stacking [i] based on linear OA(849, 2097148, F8, 8) (dual of [2097148, 2097099, 9]-code), using
- net defined by OOA [i] based on linear OOA(849, 524287, F8, 8, 8) (dual of [(524287, 8), 4194247, 9]-NRT-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.