Information on Result #1842691
(39, 48, 524305)-net in base 16, using (u, u+v)-construction based on
- digital (0, 4, 17)-net over F16, using
- net from sequence [i] based on digital (0, 16)-sequence over F16, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 0 and N(F) ≥ 17, using
- the rational function field F16(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 16)-sequence over F16, using
- (35, 44, 524288)-net in base 16, using
- net defined by OOA [i] based on OOA(1644, 524288, S16, 9, 9), using
- OOA 4-folding and stacking with additional row [i] based on OA(1644, 2097153, S16, 9), using
- discarding factors based on OA(1644, 2097155, S16, 9), using
- discarding parts of the base [i] based on linear OA(12825, 2097155, F128, 9) (dual of [2097155, 2097130, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(12825, 2097152, F128, 9) (dual of [2097152, 2097127, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(12822, 2097152, F128, 8) (dual of [2097152, 2097130, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(1280, 3, F128, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- discarding parts of the base [i] based on linear OA(12825, 2097155, F128, 9) (dual of [2097155, 2097130, 10]-code), using
- discarding factors based on OA(1644, 2097155, S16, 9), using
- OOA 4-folding and stacking with additional row [i] based on OA(1644, 2097153, S16, 9), using
- net defined by OOA [i] based on OOA(1644, 524288, S16, 9, 9), 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.