Information on Result #1227751
Digital (54, 69, 1198616)-net over F81, using (u, u+v)-construction based on
- digital (5, 12, 245)-net over F81, using
- net defined by OOA [i] based on linear OOA(8112, 245, F81, 9, 7) (dual of [(245, 9), 2193, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(8112, 246, F81, 3, 7) (dual of [(246, 3), 726, 8]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(812, 82, F81, 3, 2) (dual of [(82, 3), 244, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;244,81) [i]
- linear OOA(813, 82, F81, 3, 3) (dual of [(82, 3), 243, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;243,81) [i]
- linear OOA(817, 82, F81, 3, 7) (dual of [(82, 3), 239, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;239,81) [i]
- linear OOA(812, 82, F81, 3, 2) (dual of [(82, 3), 244, 3]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(8112, 246, F81, 3, 7) (dual of [(246, 3), 726, 8]-NRT-code), using
- net defined by OOA [i] based on linear OOA(8112, 245, F81, 9, 7) (dual of [(245, 9), 2193, 8]-NRT-code), using
- digital (42, 57, 1198371)-net over F81, using
- net defined by OOA [i] based on linear OOA(8157, 1198371, F81, 15, 15) (dual of [(1198371, 15), 17975508, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(8157, 8388598, F81, 15) (dual of [8388598, 8388541, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(8157, large, F81, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8157, large, F81, 15) (dual of [large, large−57, 16]-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(8157, 8388598, F81, 15) (dual of [8388598, 8388541, 16]-code), using
- net defined by OOA [i] based on linear OOA(8157, 1198371, F81, 15, 15) (dual of [(1198371, 15), 17975508, 16]-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.