Information on Result #611302
Linear OA(2253, 262145, F2, 29) (dual of [262145, 261892, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 236−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(2252, 262144, F2, 28) (dual of [262144, 261892, 29]-code) | [i] | Truncation | |
| 2 | Linear OA(2256, 262149, F2, 29) (dual of [262149, 261893, 30]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2257, 262153, F2, 29) (dual of [262153, 261896, 30]-code) | [i] | ✔ | |
| 4 | Linear OA(2258, 262161, F2, 29) (dual of [262161, 261903, 30]-code) | [i] | ✔ | |
| 5 | Linear OA(2259, 262177, F2, 29) (dual of [262177, 261918, 30]-code) | [i] | ✔ | |
| 6 | Linear OA(2260, 262188, F2, 29) (dual of [262188, 261928, 30]-code) | [i] | ✔ | |
| 7 | Linear OOA(2253, 52429, F2, 5, 29) (dual of [(52429, 5), 261892, 30]-NRT-code) | [i] | OOA Folding | |