Information on Result #1228116
Digital (27, 38, 427558)-net over F128, using (u, u+v)-construction based on
- digital (2, 7, 8128)-net over F128, using
- net defined by OOA [i] based on linear OOA(1287, 8128, F128, 5, 5) (dual of [(8128, 5), 40633, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(1287, 8128, F128, 4, 5) (dual of [(8128, 4), 32505, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(1287, 16257, F128, 5) (dual of [16257, 16250, 6]-code), using
- appending kth column [i] based on linear OOA(1287, 8128, F128, 4, 5) (dual of [(8128, 4), 32505, 6]-NRT-code), using
- net defined by OOA [i] based on linear OOA(1287, 8128, F128, 5, 5) (dual of [(8128, 5), 40633, 6]-NRT-code), using
- digital (20, 31, 419430)-net over F128, using
- net defined by OOA [i] based on linear OOA(12831, 419430, F128, 11, 11) (dual of [(419430, 11), 4613699, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(12831, 2097151, F128, 11) (dual of [2097151, 2097120, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(12831, 2097152, F128, 11) (dual of [2097152, 2097121, 12]-code), using
- an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(12831, 2097152, F128, 11) (dual of [2097152, 2097121, 12]-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(12831, 2097151, F128, 11) (dual of [2097151, 2097120, 12]-code), using
- net defined by OOA [i] based on linear OOA(12831, 419430, F128, 11, 11) (dual of [(419430, 11), 4613699, 12]-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.