Information on Result #702173
Linear OA(2225, 511, F2, 54) (dual of [511, 286, 55]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2252, 585, F2, 54) (dual of [585, 333, 55]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(2253, 592, F2, 54) (dual of [592, 339, 55]-code) | [i] | ||
| 3 | Linear OA(2254, 599, F2, 54) (dual of [599, 345, 55]-code) | [i] | ||
| 4 | Linear OA(2255, 606, F2, 54) (dual of [606, 351, 55]-code) | [i] | ||
| 5 | Linear OA(2256, 613, F2, 54) (dual of [613, 357, 55]-code) | [i] | ||
| 6 | Linear OA(2254, 579, F2, 54) (dual of [579, 325, 55]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(2256, 582, F2, 54) (dual of [582, 326, 55]-code) | [i] | ✔ | |
| 8 | Linear OA(2257, 584, F2, 54) (dual of [584, 327, 55]-code) | [i] | ✔ | |
| 9 | Linear OA(2258, 589, F2, 54) (dual of [589, 331, 55]-code) | [i] | ✔ | |
| 10 | Linear OA(2260, 564, F2, 59) (dual of [564, 304, 60]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 11 | Linear OA(2256, 560, F2, 58) (dual of [560, 304, 59]-code) | [i] | ✔ | |
| 12 | Linear OA(2240, 535, F2, 57) (dual of [535, 295, 58]-code) | [i] | ✔ | |
| 13 | Linear OA(2237, 532, F2, 56) (dual of [532, 295, 57]-code) | [i] | ✔ | |
| 14 | Linear OA(2255, 550, F2, 59) (dual of [550, 295, 60]-code) | [i] | ✔ | |
| 15 | Linear OA(2251, 546, F2, 58) (dual of [546, 295, 59]-code) | [i] | ✔ | |
| 16 | Linear OA(2249, 535, F2, 59) (dual of [535, 286, 60]-code) | [i] | ✔ | |
| 17 | Linear OA(2246, 532, F2, 58) (dual of [532, 286, 59]-code) | [i] | ✔ | |
| 18 | Linear OA(2260, 546, F2, 60) (dual of [546, 286, 61]-code) | [i] | ✔ | |
| 19 | Linear OOA(2225, 255, F2, 2, 54) (dual of [(255, 2), 285, 55]-NRT-code) | [i] | OOA Folding | |
| 20 | Linear OOA(2225, 170, F2, 3, 54) (dual of [(170, 3), 285, 55]-NRT-code) | [i] | ||