Information on Result #1214649
Digital (68, 83, 16823)-net over F7, using (u, u+v)-construction based on
- digital (3, 10, 16)-net over F7, using
- (u, u+v)-construction [i] based on
- digital (0, 3, 8)-net over F7, using
- net from sequence [i] based on digital (0, 7)-sequence over F7, using
- Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 0 and N(F) ≥ 8, using
- the rational function field F7(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 7)-sequence over F7, using
- digital (0, 7, 8)-net over F7, using
- net from sequence [i] based on digital (0, 7)-sequence over F7 (see above)
- digital (0, 3, 8)-net over F7, using
- (u, u+v)-construction [i] based on
- digital (58, 73, 16807)-net over F7, using
- net defined by OOA [i] based on linear OOA(773, 16807, F7, 15, 15) (dual of [(16807, 15), 252032, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(773, 117650, F7, 15) (dual of [117650, 117577, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 117650 | 712−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- OOA 7-folding and stacking with additional row [i] based on linear OA(773, 117650, F7, 15) (dual of [117650, 117577, 16]-code), using
- net defined by OOA [i] based on linear OOA(773, 16807, F7, 15, 15) (dual of [(16807, 15), 252032, 16]-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.