Information on Result #1226561
Digital (38, 54, 14756)-net over F49, using (u, u+v)-construction based on
- digital (0, 8, 50)-net over F49, using
- net from sequence [i] based on digital (0, 49)-sequence over F49, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50, using
- the rational function field F49(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 49)-sequence over F49, using
- digital (30, 46, 14706)-net over F49, using
- net defined by OOA [i] based on linear OOA(4946, 14706, F49, 16, 16) (dual of [(14706, 16), 235250, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(4946, 117648, F49, 16) (dual of [117648, 117602, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(4946, 117649, F49, 16) (dual of [117649, 117603, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(4946, 117649, F49, 16) (dual of [117649, 117603, 17]-code), using
- OA 8-folding and stacking [i] based on linear OA(4946, 117648, F49, 16) (dual of [117648, 117602, 17]-code), using
- net defined by OOA [i] based on linear OOA(4946, 14706, F49, 16, 16) (dual of [(14706, 16), 235250, 17]-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.