Information on Result #611150
Linear OA(2111, 2049, F2, 21) (dual of [2049, 1938, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound)
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(2110, 2048, F2, 20) (dual of [2048, 1938, 21]-code) | [i] | Truncation | |
| 2 | Linear OA(2121, 2060, F2, 21) (dual of [2060, 1939, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2136, 2053, F2, 25) (dual of [2053, 1917, 26]-code) | [i] | ✔ | |
| 4 | Linear OA(2137, 2057, F2, 25) (dual of [2057, 1920, 26]-code) | [i] | ✔ | |
| 5 | Linear OA(2138, 2065, F2, 25) (dual of [2065, 1927, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(2139, 2077, F2, 25) (dual of [2077, 1938, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(2114, 2053, F2, 21) (dual of [2053, 1939, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(2115, 2057, F2, 21) (dual of [2057, 1942, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(2116, 2065, F2, 21) (dual of [2065, 1949, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(2117, 2077, F2, 21) (dual of [2077, 1960, 22]-code) | [i] | ✔ | |
| 11 | Linear OOA(2111, 683, F2, 3, 21) (dual of [(683, 3), 1938, 22]-NRT-code) | [i] | OOA Folding | |