Information on Result #672945
Linear OA(2111, 2048, F2, 21) (dual of [2048, 1937, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(2123, 2060, F2, 23) (dual of [2060, 1937, 24]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2112, 2060, F2, 21) (dual of [2060, 1948, 22]-code) | [i] | ✔ | |
| 3 | Linear OA(2156, 2093, F2, 27) (dual of [2093, 1937, 28]-code) | [i] | ✔ | |
| 4 | Linear OA(2155, 2085, F2, 27) (dual of [2085, 1930, 28]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(2144, 2085, F2, 25) (dual of [2085, 1941, 26]-code) | [i] | ✔ | |
| 6 | Linear OOA(2111, 1024, F2, 2, 21) (dual of [(1024, 2), 1937, 22]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2111, 512, F2, 4, 21) (dual of [(512, 4), 1937, 22]-NRT-code) | [i] | ||
| 8 | Linear OOA(2111, 409, F2, 5, 21) (dual of [(409, 5), 1934, 22]-NRT-code) | [i] | ||
| 9 | Linear OOA(2111, 341, F2, 6, 21) (dual of [(341, 6), 1935, 22]-NRT-code) | [i] | ||
| 10 | Linear OOA(2111, 292, F2, 7, 21) (dual of [(292, 7), 1933, 22]-NRT-code) | [i] | ||
| 11 | Linear OOA(2111, 256, F2, 8, 21) (dual of [(256, 8), 1937, 22]-NRT-code) | [i] | ||