Information on Result #1213676
Digital (65, 81, 1959)-net over F5, using (u, u+v)-construction based on
- digital (0, 8, 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 (57, 73, 1953)-net over F5, using
- net defined by OOA [i] based on linear OOA(573, 1953, F5, 16, 16) (dual of [(1953, 16), 31175, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(573, 15624, F5, 16) (dual of [15624, 15551, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(573, 15625, F5, 16) (dual of [15625, 15552, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(573, 15625, F5, 16) (dual of [15625, 15552, 17]-code), using
- OA 8-folding and stacking [i] based on linear OA(573, 15624, F5, 16) (dual of [15624, 15551, 17]-code), using
- net defined by OOA [i] based on linear OOA(573, 1953, F5, 16, 16) (dual of [(1953, 16), 31175, 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.