Information on Result #702530
Linear OA(2190, 511, F2, 45) (dual of [511, 321, 46]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [0,44], and designed minimum distance d ≥ |I|+1 = 46
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2220, 559, F2, 49) (dual of [559, 339, 50]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2219, 551, F2, 49) (dual of [551, 332, 50]-code) | [i] | ✔ | |
| 3 | Linear OA(2201, 531, F2, 47) (dual of [531, 330, 48]-code) | [i] | ✔ | |
| 4 | Linear OA(2215, 545, F2, 49) (dual of [545, 330, 50]-code) | [i] | ✔ | |
| 5 | Linear OA(2214, 537, F2, 49) (dual of [537, 323, 50]-code) | [i] | ✔ | |
| 6 | Linear OA(2210, 531, F2, 49) (dual of [531, 321, 50]-code) | [i] | ✔ | |
| 7 | Linear OA(2257, 576, F2, 56) (dual of [576, 319, 57]-code) | [i] | ✔ | |
| 8 | Linear OA(2257, 573, F2, 57) (dual of [573, 316, 58]-code) | [i] | ✔ | |
| 9 | Linear OOA(2190, 170, F2, 3, 45) (dual of [(170, 3), 320, 46]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(2190, 102, F2, 5, 45) (dual of [(102, 5), 320, 46]-NRT-code) | [i] | ||