Information on Result #611426
Linear OA(2254, 2048, F2, 47) (dual of [2048, 1794, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47
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(2253, 2047, F2, 46) (dual of [2047, 1794, 47]-code) | [i] | Truncation | |
| 2 | Linear OA(2255, 2060, F2, 47) (dual of [2060, 1805, 48]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(2260, 2076, F2, 47) (dual of [2076, 1816, 48]-code) | [i] | ✔ | |
| 4 | Linear OOA(2254, 1024, F2, 2, 47) (dual of [(1024, 2), 1794, 48]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2254, 682, F2, 3, 47) (dual of [(682, 3), 1792, 48]-NRT-code) | [i] | ||
| 6 | Linear OOA(2254, 512, F2, 4, 47) (dual of [(512, 4), 1794, 48]-NRT-code) | [i] | ||
| 7 | Linear OOA(2254, 409, F2, 5, 47) (dual of [(409, 5), 1791, 48]-NRT-code) | [i] | ||
| 8 | Linear OOA(2254, 341, F2, 6, 47) (dual of [(341, 6), 1792, 48]-NRT-code) | [i] | ||
| 9 | Linear OOA(2254, 292, F2, 7, 47) (dual of [(292, 7), 1790, 48]-NRT-code) | [i] | ||
| 10 | Linear OOA(2254, 256, F2, 8, 47) (dual of [(256, 8), 1794, 48]-NRT-code) | [i] | ||