Information on Result #611387
Linear OA(2210, 2048, F2, 39) (dual of [2048, 1838, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2209, 2047, F2, 38) (dual of [2047, 1838, 39]-code) | [i] | Truncation | |
| 2 | Linear OA(2222, 2060, F2, 41) (dual of [2060, 1838, 42]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(2211, 2060, F2, 39) (dual of [2060, 1849, 40]-code) | [i] | ✔ | |
| 4 | Linear OA(2238, 2076, F2, 43) (dual of [2076, 1838, 44]-code) | [i] | ✔ | |
| 5 | Linear OA(2216, 2076, F2, 39) (dual of [2076, 1860, 40]-code) | [i] | ✔ | |
| 6 | Linear OA(2256, 2094, F2, 45) (dual of [2094, 1838, 46]-code) | [i] | ✔ | |
| 7 | Linear OA(2223, 2094, F2, 39) (dual of [2094, 1871, 40]-code) | [i] | ✔ | |
| 8 | Linear OA(2255, 2093, F2, 45) (dual of [2093, 1838, 46]-code) | [i] | ✔ | |
| 9 | Linear OA(2222, 2093, F2, 39) (dual of [2093, 1871, 40]-code) | [i] | ✔ | |
| 10 | Linear OA(2228, 2110, F2, 39) (dual of [2110, 1882, 40]-code) | [i] | ✔ | |
| 11 | Linear OA(2254, 2085, F2, 45) (dual of [2085, 1831, 46]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(2243, 2085, F2, 43) (dual of [2085, 1842, 44]-code) | [i] | ✔ | |
| 13 | Linear OA(2221, 2085, F2, 39) (dual of [2085, 1864, 40]-code) | [i] | ✔ | |
| 14 | Linear OOA(2210, 1024, F2, 2, 39) (dual of [(1024, 2), 1838, 40]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(2210, 682, F2, 3, 39) (dual of [(682, 3), 1836, 40]-NRT-code) | [i] | ||
| 16 | Linear OOA(2210, 512, F2, 4, 39) (dual of [(512, 4), 1838, 40]-NRT-code) | [i] | ||
| 17 | Linear OOA(2210, 409, F2, 5, 39) (dual of [(409, 5), 1835, 40]-NRT-code) | [i] | ||
| 18 | Linear OOA(2210, 341, F2, 6, 39) (dual of [(341, 6), 1836, 40]-NRT-code) | [i] | ||
| 19 | Linear OOA(2210, 292, F2, 7, 39) (dual of [(292, 7), 1834, 40]-NRT-code) | [i] | ||
| 20 | Linear OOA(2210, 256, F2, 8, 39) (dual of [(256, 8), 1838, 40]-NRT-code) | [i] | ||