Information on Result #1204884
Digital (21, 43, 5958)-net over F256, using net defined by OOA based on linear OOA(25643, 5958, F256, 22, 22) (dual of [(5958, 22), 131033, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(25643, 65538, F256, 22) (dual of [65538, 65495, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(25643, 65536, F256, 22) (dual of [65536, 65493, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(25641, 65536, F256, 21) (dual of [65536, 65495, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
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 (22, 44, 5958)-net over F256 | [i] | Net Duplication | |
| 2 | Digital (32, 54, 6215)-net over F256 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (33, 55, 6216)-net over F256 | [i] | ||
| 4 | Digital (34, 56, 6217)-net over F256 | [i] | ||
| 5 | Digital (35, 57, 6218)-net over F256 | [i] | ||
| 6 | Digital (36, 58, 6219)-net over F256 | [i] | ||
| 7 | Digital (37, 59, 6472)-net over F256 | [i] | ||
| 8 | Digital (38, 60, 6473)-net over F256 | [i] | ||
| 9 | Digital (39, 61, 6474)-net over F256 | [i] | ||
| 10 | Digital (40, 62, 6728)-net over F256 | [i] | ||
| 11 | Digital (41, 63, 6729)-net over F256 | [i] | ||
| 12 | Digital (40, 62, 6729)-net over F256 | [i] | ||
| 13 | Digital (41, 63, 6730)-net over F256 | [i] | ||