Information on Result #1221635
Digital (66, 93, 1268)-net over F25, using (u, u+v)-construction based on
- digital (4, 17, 66)-net over F25, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
- digital (49, 76, 1202)-net over F25, using
- net defined by OOA [i] based on linear OOA(2576, 1202, F25, 27, 27) (dual of [(1202, 27), 32378, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(2576, 15627, F25, 27) (dual of [15627, 15551, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(2576, 15628, F25, 27) (dual of [15628, 15552, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- linear OA(2576, 15625, F25, 27) (dual of [15625, 15549, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2573, 15625, F25, 26) (dual of [15625, 15552, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(250, 3, F25, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(2576, 15628, F25, 27) (dual of [15628, 15552, 28]-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(2576, 15627, F25, 27) (dual of [15627, 15551, 28]-code), using
- net defined by OOA [i] based on linear OOA(2576, 1202, F25, 27, 27) (dual of [(1202, 27), 32378, 28]-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 (67, 93, 1268)-net over F25 | [i] | t-Expansion | |
| 2 | Digital (67, 94, 1268)-net over F25 | [i] | Net Duplication | |
| 3 | Digital (68, 95, 1268)-net over F25 | [i] | ||
| 4 | Digital (69, 96, 1268)-net over F25 | [i] | ||
| 5 | Digital (66, 92, 1268)-net over F25 | [i] | m-Reduction | |