Information on Result #611357
Linear OA(2188, 2048, F2, 35) (dual of [2048, 1860, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35
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(2187, 2047, F2, 34) (dual of [2047, 1860, 35]-code) | [i] | Truncation | |
| 2 | Linear OA(2200, 2060, F2, 37) (dual of [2060, 1860, 38]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(2189, 2060, F2, 35) (dual of [2060, 1871, 36]-code) | [i] | ✔ | |
| 4 | Linear OA(2216, 2076, F2, 39) (dual of [2076, 1860, 40]-code) | [i] | ✔ | |
| 5 | Linear OA(2194, 2076, F2, 35) (dual of [2076, 1882, 36]-code) | [i] | ✔ | |
| 6 | Linear OA(2234, 2094, F2, 41) (dual of [2094, 1860, 42]-code) | [i] | ✔ | |
| 7 | Linear OA(2201, 2094, F2, 35) (dual of [2094, 1893, 36]-code) | [i] | ✔ | |
| 8 | Linear OA(2251, 2111, F2, 43) (dual of [2111, 1860, 44]-code) | [i] | ✔ | |
| 9 | Linear OA(2233, 2093, F2, 41) (dual of [2093, 1860, 42]-code) | [i] | ✔ | |
| 10 | Linear OA(2200, 2093, F2, 35) (dual of [2093, 1893, 36]-code) | [i] | ✔ | |
| 11 | Linear OA(2250, 2110, F2, 43) (dual of [2110, 1860, 44]-code) | [i] | ✔ | |
| 12 | Linear OA(2232, 2085, F2, 41) (dual of [2085, 1853, 42]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 13 | Linear OA(2221, 2085, F2, 39) (dual of [2085, 1864, 40]-code) | [i] | ✔ | |
| 14 | Linear OA(2199, 2085, F2, 35) (dual of [2085, 1886, 36]-code) | [i] | ✔ | |
| 15 | Linear OOA(2188, 1024, F2, 2, 35) (dual of [(1024, 2), 1860, 36]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(2188, 682, F2, 3, 35) (dual of [(682, 3), 1858, 36]-NRT-code) | [i] | ||
| 17 | Linear OOA(2188, 512, F2, 4, 35) (dual of [(512, 4), 1860, 36]-NRT-code) | [i] | ||
| 18 | Linear OOA(2188, 409, F2, 5, 35) (dual of [(409, 5), 1857, 36]-NRT-code) | [i] | ||
| 19 | Linear OOA(2188, 341, F2, 6, 35) (dual of [(341, 6), 1858, 36]-NRT-code) | [i] | ||
| 20 | Linear OOA(2188, 292, F2, 7, 35) (dual of [(292, 7), 1856, 36]-NRT-code) | [i] | ||
| 21 | Linear OOA(2188, 256, F2, 8, 35) (dual of [(256, 8), 1860, 36]-NRT-code) | [i] | ||