Information on Result #1218876
Digital (45, 58, 21878)-net over F16, using (u, u+v)-construction based on
- digital (2, 8, 33)-net over F16, using
- net from sequence [i] based on digital (2, 32)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- net from sequence [i] based on digital (2, 32)-sequence over F16, using
- digital (37, 50, 21845)-net over F16, using
- net defined by OOA [i] based on linear OOA(1650, 21845, F16, 13, 13) (dual of [(21845, 13), 283935, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(1650, 131071, F16, 13) (dual of [131071, 131021, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(1650, 131074, F16, 13) (dual of [131074, 131024, 14]-code), using
- trace code [i] based on linear OA(25625, 65537, F256, 13) (dual of [65537, 65512, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- trace code [i] based on linear OA(25625, 65537, F256, 13) (dual of [65537, 65512, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(1650, 131074, F16, 13) (dual of [131074, 131024, 14]-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(1650, 131071, F16, 13) (dual of [131071, 131021, 14]-code), using
- net defined by OOA [i] based on linear OOA(1650, 21845, F16, 13, 13) (dual of [(21845, 13), 283935, 14]-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.