Information on Result #702159
Linear OA(2163, 511, F2, 39) (dual of [511, 348, 40]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−36,−35,…,2}, and designed minimum distance d ≥ |I|+1 = 40
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2234, 582, F2, 49) (dual of [582, 348, 50]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(2183, 564, F2, 38) (dual of [564, 381, 39]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 3 | Linear OA(2181, 561, F2, 38) (dual of [561, 380, 39]-code) | [i] | ✔ | |
| 4 | Linear OA(2180, 560, F2, 38) (dual of [560, 380, 39]-code) | [i] | ✔ | |
| 5 | Linear OA(2178, 554, F2, 39) (dual of [554, 376, 40]-code) | [i] | ✔ | |
| 6 | Linear OA(2175, 551, F2, 38) (dual of [551, 376, 39]-code) | [i] | ✔ | |
| 7 | Linear OA(2174, 544, F2, 38) (dual of [544, 370, 39]-code) | [i] | ✔ | |
| 8 | Linear OA(2175, 550, F2, 39) (dual of [550, 375, 40]-code) | [i] | ✔ | |
| 9 | Linear OA(2174, 543, F2, 39) (dual of [543, 369, 40]-code) | [i] | ✔ | |
| 10 | Linear OA(2198, 564, F2, 43) (dual of [564, 366, 44]-code) | [i] | ✔ | |
| 11 | Linear OA(2205, 561, F2, 44) (dual of [561, 356, 45]-code) | [i] | ✔ | |
| 12 | Linear OOA(2163, 170, F2, 3, 39) (dual of [(170, 3), 347, 40]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(2163, 102, F2, 5, 39) (dual of [(102, 5), 347, 40]-NRT-code) | [i] | ||