Information on Result #611309
Linear OA(2166, 2048, F2, 31) (dual of [2048, 1882, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31
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(2165, 2047, F2, 30) (dual of [2047, 1882, 31]-code) | [i] | Truncation | |
| 2 | Linear OA(2178, 2060, F2, 33) (dual of [2060, 1882, 34]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(2167, 2060, F2, 31) (dual of [2060, 1893, 32]-code) | [i] | ✔ | |
| 4 | Linear OA(2194, 2076, F2, 35) (dual of [2076, 1882, 36]-code) | [i] | ✔ | |
| 5 | Linear OA(2172, 2076, F2, 31) (dual of [2076, 1904, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(2212, 2094, F2, 37) (dual of [2094, 1882, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(2179, 2094, F2, 31) (dual of [2094, 1915, 32]-code) | [i] | ✔ | |
| 8 | Linear OA(2211, 2093, F2, 37) (dual of [2093, 1882, 38]-code) | [i] | ✔ | |
| 9 | Linear OA(2178, 2093, F2, 31) (dual of [2093, 1915, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(2228, 2110, F2, 39) (dual of [2110, 1882, 40]-code) | [i] | ✔ | |
| 11 | Linear OA(2210, 2085, F2, 37) (dual of [2085, 1875, 38]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(2199, 2085, F2, 35) (dual of [2085, 1886, 36]-code) | [i] | ✔ | |
| 13 | Linear OA(2177, 2085, F2, 31) (dual of [2085, 1908, 32]-code) | [i] | ✔ | |
| 14 | Linear OOA(2166, 1024, F2, 2, 31) (dual of [(1024, 2), 1882, 32]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(2166, 682, F2, 3, 31) (dual of [(682, 3), 1880, 32]-NRT-code) | [i] | ||
| 16 | Linear OOA(2166, 512, F2, 4, 31) (dual of [(512, 4), 1882, 32]-NRT-code) | [i] | ||
| 17 | Linear OOA(2166, 409, F2, 5, 31) (dual of [(409, 5), 1879, 32]-NRT-code) | [i] | ||
| 18 | Linear OOA(2166, 341, F2, 6, 31) (dual of [(341, 6), 1880, 32]-NRT-code) | [i] | ||
| 19 | Linear OOA(2166, 292, F2, 7, 31) (dual of [(292, 7), 1878, 32]-NRT-code) | [i] | ||
| 20 | Linear OOA(2166, 256, F2, 8, 31) (dual of [(256, 8), 1882, 32]-NRT-code) | [i] | ||