Information on Result #1219082
Digital (68, 84, 131095)-net over F16, using (u, u+v)-construction based on
- digital (1, 9, 24)-net over F16, using
- net from sequence [i] based on digital (1, 23)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- net from sequence [i] based on digital (1, 23)-sequence over F16, using
- digital (59, 75, 131071)-net over F16, using
- net defined by OOA [i] based on linear OOA(1675, 131071, F16, 16, 16) (dual of [(131071, 16), 2097061, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(1675, 1048568, F16, 16) (dual of [1048568, 1048493, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(1675, 1048575, F16, 16) (dual of [1048575, 1048500, 17]-code), using
- 1 times truncation [i] based on linear OA(1676, 1048576, F16, 17) (dual of [1048576, 1048500, 18]-code), using
- an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- 1 times truncation [i] based on linear OA(1676, 1048576, F16, 17) (dual of [1048576, 1048500, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(1675, 1048575, F16, 16) (dual of [1048575, 1048500, 17]-code), using
- OA 8-folding and stacking [i] based on linear OA(1675, 1048568, F16, 16) (dual of [1048568, 1048493, 17]-code), using
- net defined by OOA [i] based on linear OOA(1675, 131071, F16, 16, 16) (dual of [(131071, 16), 2097061, 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.