Information on Result #1842984
(65, 83, 59149)-net in base 27, using (u, u+v)-construction based on
- (5, 14, 100)-net in base 27, using
- 2 times m-reduction [i] based on (5, 16, 100)-net in base 27, using
- base change [i] based on digital (1, 12, 100)-net over F81, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- base change [i] based on digital (1, 12, 100)-net over F81, using
- 2 times m-reduction [i] based on (5, 16, 100)-net in base 27, using
- digital (51, 69, 59049)-net over F27, using
- net defined by OOA [i] based on linear OOA(2769, 59049, F27, 18, 18) (dual of [(59049, 18), 1062813, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(2769, 531441, F27, 18) (dual of [531441, 531372, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- OA 9-folding and stacking [i] based on linear OA(2769, 531441, F27, 18) (dual of [531441, 531372, 19]-code), using
- net defined by OOA [i] based on linear OOA(2769, 59049, F27, 18, 18) (dual of [(59049, 18), 1062813, 19]-NRT-code), using
Mode: Constructive.
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.