Information on Result #1228248
Digital (40, 55, 299979)-net over F128, using (u, u+v)-construction based on
- digital (5, 12, 386)-net over F128, using
- net defined by OOA [i] based on linear OOA(12812, 386, F128, 9, 7) (dual of [(386, 9), 3462, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(12812, 387, F128, 3, 7) (dual of [(387, 3), 1149, 8]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(1282, 129, F128, 3, 2) (dual of [(129, 3), 385, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;385,128) [i]
- linear OOA(1283, 129, F128, 3, 3) (dual of [(129, 3), 384, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;384,128) [i]
- linear OOA(1287, 129, F128, 3, 7) (dual of [(129, 3), 380, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;380,128) [i]
- linear OOA(1282, 129, F128, 3, 2) (dual of [(129, 3), 385, 3]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(12812, 387, F128, 3, 7) (dual of [(387, 3), 1149, 8]-NRT-code), using
- net defined by OOA [i] based on linear OOA(12812, 386, F128, 9, 7) (dual of [(386, 9), 3462, 8]-NRT-code), using
- digital (28, 43, 299593)-net over F128, using
- net defined by OOA [i] based on linear OOA(12843, 299593, F128, 15, 15) (dual of [(299593, 15), 4493852, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(12843, 2097152, F128, 15) (dual of [2097152, 2097109, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- OOA 7-folding and stacking with additional row [i] based on linear OA(12843, 2097152, F128, 15) (dual of [2097152, 2097109, 16]-code), using
- net defined by OOA [i] based on linear OOA(12843, 299593, F128, 15, 15) (dual of [(299593, 15), 4493852, 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.