Information on Result #1211469
Digital (211, 241, 69922)-net over F4, using (u, u+v)-construction based on
- digital (5, 20, 17)-net over F4, using
- net from sequence [i] based on digital (5, 16)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 5 and N(F) ≥ 17, using
- net from sequence [i] based on digital (5, 16)-sequence over F4, using
- digital (191, 221, 69905)-net over F4, using
- net defined by OOA [i] based on linear OOA(4221, 69905, F4, 30, 30) (dual of [(69905, 30), 2096929, 31]-NRT-code), using
- OA 15-folding and stacking [i] based on linear OA(4221, 1048575, F4, 30) (dual of [1048575, 1048354, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(4221, 1048576, F4, 30) (dual of [1048576, 1048355, 31]-code), using
- an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- discarding factors / shortening the dual code based on linear OA(4221, 1048576, F4, 30) (dual of [1048576, 1048355, 31]-code), using
- OA 15-folding and stacking [i] based on linear OA(4221, 1048575, F4, 30) (dual of [1048575, 1048354, 31]-code), using
- net defined by OOA [i] based on linear OOA(4221, 69905, F4, 30, 30) (dual of [(69905, 30), 2096929, 31]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (212, 242, 69922)-net over F4 | [i] | Net Duplication | |