Information on Result #611203
Linear OA(2232, 2097152, F2, 23) (dual of [2097152, 2096920, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 221−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
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(2231, 2097151, F2, 22) (dual of [2097151, 2096920, 23]-code) | [i] | Truncation | |
| 2 | Linear OA(2254, 2097174, F2, 25) (dual of [2097174, 2096920, 26]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(2233, 2097174, F2, 23) (dual of [2097174, 2096941, 24]-code) | [i] | ✔ | |
| 4 | Linear OA(2238, 2097184, F2, 23) (dual of [2097184, 2096946, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(2239, 2097201, F2, 23) (dual of [2097201, 2096962, 24]-code) | [i] | ✔ | |
| 6 | Linear OOA(2232, 1048576, F2, 2, 23) (dual of [(1048576, 2), 2096920, 24]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2232, 524288, F2, 4, 23) (dual of [(524288, 4), 2096920, 24]-NRT-code) | [i] | ||
| 8 | Linear OOA(2232, 262144, F2, 8, 23) (dual of [(262144, 8), 2096920, 24]-NRT-code) | [i] | ||