Information on Result #1200178
Digital (70, 103, 2050)-net over F32, using net defined by OOA based on linear OOA(32103, 2050, F32, 33, 33) (dual of [(2050, 33), 67547, 34]-NRT-code), using
- OOA 16-folding and stacking with additional row [i] based on linear OA(32103, 32801, F32, 33) (dual of [32801, 32698, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(32103, 32802, F32, 33) (dual of [32802, 32699, 34]-code), using
- construction XX applied to Ce(32) ⊂ Ce(23) ⊂ Ce(22) [i] based on
- linear OA(3294, 32768, F32, 33) (dual of [32768, 32674, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(3270, 32768, F32, 24) (dual of [32768, 32698, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(3267, 32768, F32, 23) (dual of [32768, 32701, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(328, 33, F32, 8) (dual of [33, 25, 9]-code or 33-arc in PG(7,32)), using
- extended Reed–Solomon code RSe(25,32) [i]
- linear OA(320, 1, F32, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- construction XX applied to Ce(32) ⊂ Ce(23) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(32103, 32802, F32, 33) (dual of [32802, 32699, 34]-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 (71, 103, 2050)-net over F32 | [i] | t-Expansion | |
| 2 | Digital (71, 104, 2050)-net over F32 | [i] | Net Duplication | |
| 3 | Digital (72, 105, 2050)-net over F32 | [i] | ||
| 4 | Digital (73, 106, 2050)-net over F32 | [i] | ||
| 5 | Digital (74, 107, 2050)-net over F32 | [i] | ||
| 6 | Digital (75, 108, 2050)-net over F32 | [i] | ||