Information on Result #1213399
Digital (51, 62, 15631)-net over F5, using (u, u+v)-construction based on
- digital (0, 5, 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 (46, 57, 15625)-net over F5, using
- net defined by OOA [i] based on linear OOA(557, 15625, F5, 11, 11) (dual of [(15625, 11), 171818, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(557, 78126, F5, 11) (dual of [78126, 78069, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- OOA 5-folding and stacking with additional row [i] based on linear OA(557, 78126, F5, 11) (dual of [78126, 78069, 12]-code), using
- net defined by OOA [i] based on linear OOA(557, 15625, F5, 11, 11) (dual of [(15625, 11), 171818, 12]-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.