Information on Result #702537
Linear OA(2217, 511, F2, 53) (dual of [511, 294, 54]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−50,−49,…,2}, and designed minimum distance d ≥ |I|+1 = 54
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(2237, 564, F2, 52) (dual of [564, 327, 53]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2235, 561, F2, 52) (dual of [561, 326, 53]-code) | [i] | ✔ | |
| 3 | Linear OA(2234, 560, F2, 52) (dual of [560, 326, 53]-code) | [i] | ✔ | |
| 4 | Linear OA(2232, 554, F2, 53) (dual of [554, 322, 54]-code) | [i] | ✔ | |
| 5 | Linear OA(2229, 551, F2, 52) (dual of [551, 322, 53]-code) | [i] | ✔ | |
| 6 | Linear OA(2228, 544, F2, 52) (dual of [544, 316, 53]-code) | [i] | ✔ | |
| 7 | Linear OA(2229, 550, F2, 53) (dual of [550, 321, 54]-code) | [i] | ✔ | |
| 8 | Linear OA(2228, 543, F2, 53) (dual of [543, 315, 54]-code) | [i] | ✔ | |
| 9 | Linear OA(2226, 539, F2, 53) (dual of [539, 313, 54]-code) | [i] | ✔ | |
| 10 | Linear OA(2223, 536, F2, 52) (dual of [536, 313, 53]-code) | [i] | ✔ | |
| 11 | Linear OA(2222, 530, F2, 52) (dual of [530, 308, 53]-code) | [i] | ✔ | |
| 12 | Linear OA(2223, 535, F2, 53) (dual of [535, 312, 54]-code) | [i] | ✔ | |
| 13 | Linear OA(2222, 529, F2, 53) (dual of [529, 307, 54]-code) | [i] | ✔ | |
| 14 | Linear OA(2259, 561, F2, 58) (dual of [561, 302, 59]-code) | [i] | ✔ | |
| 15 | Linear OOA(2217, 170, F2, 3, 53) (dual of [(170, 3), 293, 54]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(2217, 102, F2, 5, 53) (dual of [(102, 5), 293, 54]-NRT-code) | [i] | ||