Information on Result #1213456
Digital (123, 134, 3550751)-net over F5, using (u, u+v)-construction based on
- digital (27, 32, 195311)-net over F5, using
- net defined by OOA [i] based on linear OOA(532, 195311, F5, 5, 5) (dual of [(195311, 5), 976523, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(532, 390623, F5, 5) (dual of [390623, 390591, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(532, 390624, F5, 5) (dual of [390624, 390592, 6]-code), using
- 1 times truncation [i] based on linear OA(533, 390625, F5, 6) (dual of [390625, 390592, 7]-code), using
- an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- 1 times truncation [i] based on linear OA(533, 390625, F5, 6) (dual of [390625, 390592, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(532, 390624, F5, 5) (dual of [390624, 390592, 6]-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(532, 390623, F5, 5) (dual of [390623, 390591, 6]-code), using
- net defined by OOA [i] based on linear OOA(532, 195311, F5, 5, 5) (dual of [(195311, 5), 976523, 6]-NRT-code), using
- digital (91, 102, 3355440)-net over F5, using
- trace code for nets [i] based on digital (40, 51, 1677720)-net over F25, using
- net defined by OOA [i] based on linear OOA(2551, 1677720, F25, 11, 11) (dual of [(1677720, 11), 18454869, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(2551, 8388601, F25, 11) (dual of [8388601, 8388550, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2551, large, F25, 11) (dual of [large, large−51, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, 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(2551, large, F25, 11) (dual of [large, large−51, 12]-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(2551, 8388601, F25, 11) (dual of [8388601, 8388550, 12]-code), using
- net defined by OOA [i] based on linear OOA(2551, 1677720, F25, 11, 11) (dual of [(1677720, 11), 18454869, 12]-NRT-code), using
- trace code for nets [i] based on digital (40, 51, 1677720)-net over F25, 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.