Information on Result #1213840
Digital (89, 109, 1578)-net over F5, using (u, u+v)-construction based on
- digital (3, 13, 16)-net over F5, using
- net from sequence [i] based on digital (3, 15)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 3 and N(F) ≥ 16, using
- net from sequence [i] based on digital (3, 15)-sequence over F5, using
- digital (76, 96, 1562)-net over F5, using
- net defined by OOA [i] based on linear OOA(596, 1562, F5, 20, 20) (dual of [(1562, 20), 31144, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(596, 15620, F5, 20) (dual of [15620, 15524, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(596, 15625, F5, 20) (dual of [15625, 15529, 21]-code), using
- 1 times truncation [i] based on linear OA(597, 15626, F5, 21) (dual of [15626, 15529, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(597, 15626, F5, 21) (dual of [15626, 15529, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(596, 15625, F5, 20) (dual of [15625, 15529, 21]-code), using
- OA 10-folding and stacking [i] based on linear OA(596, 15620, F5, 20) (dual of [15620, 15524, 21]-code), using
- net defined by OOA [i] based on linear OOA(596, 1562, F5, 20, 20) (dual of [(1562, 20), 31144, 21]-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.