Information on Result #1213873
Digital (102, 123, 7818)-net over F5, using (u, u+v)-construction based on
- digital (0, 10, 6)-net over F5, using
- net from sequence [i] based on digital (0, 5)-sequence over F5, using
- Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 0 and N(F) ≥ 6, using
- the rational function field F5(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 5)-sequence over F5, using
- digital (92, 113, 7812)-net over F5, using
- net defined by OOA [i] based on linear OOA(5113, 7812, F5, 21, 21) (dual of [(7812, 21), 163939, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(5113, 78121, F5, 21) (dual of [78121, 78008, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(5113, 78125, F5, 21) (dual of [78125, 78012, 22]-code), using
- an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(5113, 78125, F5, 21) (dual of [78125, 78012, 22]-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(5113, 78121, F5, 21) (dual of [78121, 78008, 22]-code), using
- net defined by OOA [i] based on linear OOA(5113, 7812, F5, 21, 21) (dual of [(7812, 21), 163939, 22]-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.