Information on Result #1210064
Digital (146, 157, 7130311)-net over F4, using (u, u+v)-construction based on
- digital (29, 34, 2097151)-net over F4, using
- net defined by OOA [i] based on linear OOA(434, 2097151, F4, 5, 5) (dual of [(2097151, 5), 10485721, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(434, 4194303, F4, 5) (dual of [4194303, 4194269, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(434, 4194304, F4, 5) (dual of [4194304, 4194270, 6]-code), using
- an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(434, 4194304, F4, 5) (dual of [4194304, 4194270, 6]-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(434, 4194303, F4, 5) (dual of [4194303, 4194269, 6]-code), using
- net defined by OOA [i] based on linear OOA(434, 2097151, F4, 5, 5) (dual of [(2097151, 5), 10485721, 6]-NRT-code), using
- digital (112, 123, 5033160)-net over F4, using
- trace code for nets [i] based on digital (30, 41, 1677720)-net over F64, using
- net defined by OOA [i] based on linear OOA(6441, 1677720, F64, 11, 11) (dual of [(1677720, 11), 18454879, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(6441, 8388601, F64, 11) (dual of [8388601, 8388560, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(6441, large, F64, 11) (dual of [large, large−41, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(6441, large, F64, 11) (dual of [large, large−41, 12]-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(6441, 8388601, F64, 11) (dual of [8388601, 8388560, 12]-code), using
- net defined by OOA [i] based on linear OOA(6441, 1677720, F64, 11, 11) (dual of [(1677720, 11), 18454879, 12]-NRT-code), using
- trace code for nets [i] based on digital (30, 41, 1677720)-net over F64, 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.