Information on Result #611232
Linear OA(2181, 32769, F2, 25) (dual of [32769, 32588, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 230−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(2180, 32768, F2, 24) (dual of [32768, 32588, 25]-code) | [i] | Truncation | |
| 2 | Linear OA(2193, 32782, F2, 25) (dual of [32782, 32589, 26]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2214, 32773, F2, 29) (dual of [32773, 32559, 30]-code) | [i] | ✔ | |
| 4 | Linear OA(2215, 32777, F2, 29) (dual of [32777, 32562, 30]-code) | [i] | ✔ | |
| 5 | Linear OA(2216, 32785, F2, 29) (dual of [32785, 32569, 30]-code) | [i] | ✔ | |
| 6 | Linear OA(2217, 32801, F2, 29) (dual of [32801, 32584, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(2218, 32806, F2, 29) (dual of [32806, 32588, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(2184, 32773, F2, 25) (dual of [32773, 32589, 26]-code) | [i] | ✔ | |
| 9 | Linear OA(2185, 32777, F2, 25) (dual of [32777, 32592, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(2186, 32785, F2, 25) (dual of [32785, 32599, 26]-code) | [i] | ✔ | |
| 11 | Linear OA(2187, 32801, F2, 25) (dual of [32801, 32614, 26]-code) | [i] | ✔ | |
| 12 | Linear OA(2188, 32806, F2, 25) (dual of [32806, 32618, 26]-code) | [i] | ✔ | |
| 13 | Linear OOA(2181, 10923, F2, 3, 25) (dual of [(10923, 3), 32588, 26]-NRT-code) | [i] | OOA Folding | |