Information on Result #1208281
Digital (231, 245, 4795671)-net over F3, using (u, u+v)-construction based on
- digital (26, 33, 2187)-net over F3, using
- net defined by OOA [i] based on linear OOA(333, 2187, F3, 7, 7) (dual of [(2187, 7), 15276, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(333, 6562, F3, 7) (dual of [6562, 6529, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- OOA 3-folding and stacking with additional row [i] based on linear OA(333, 6562, F3, 7) (dual of [6562, 6529, 8]-code), using
- net defined by OOA [i] based on linear OOA(333, 2187, F3, 7, 7) (dual of [(2187, 7), 15276, 8]-NRT-code), using
- digital (198, 212, 4793484)-net over F3, using
- trace code for nets [i] based on digital (39, 53, 1198371)-net over F81, using
- net defined by OOA [i] based on linear OOA(8153, 1198371, F81, 14, 14) (dual of [(1198371, 14), 16777141, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(8153, 8388597, F81, 14) (dual of [8388597, 8388544, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(8153, large, F81, 14) (dual of [large, large−53, 15]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(8153, large, F81, 14) (dual of [large, large−53, 15]-code), using
- OA 7-folding and stacking [i] based on linear OA(8153, 8388597, F81, 14) (dual of [8388597, 8388544, 15]-code), using
- net defined by OOA [i] based on linear OOA(8153, 1198371, F81, 14, 14) (dual of [(1198371, 14), 16777141, 15]-NRT-code), using
- trace code for nets [i] based on digital (39, 53, 1198371)-net over F81, 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.