Information on Result #611466
Linear OA(2253, 512, F2, 61) (dual of [512, 259, 62]-code), using an extension Ce(60) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61
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, 511, F2, 60) (dual of [511, 259, 61]-code) | [i] | Truncation | |
| 2 | Linear OA(2254, 522, F2, 61) (dual of [522, 268, 62]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(2258, 528, F2, 61) (dual of [528, 270, 62]-code) | [i] | ✔ | |
| 4 | Linear OA(2259, 536, F2, 61) (dual of [536, 277, 62]-code) | [i] | ✔ | |
| 5 | Linear OA(2258, 529, F2, 61) (dual of [529, 271, 62]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(2257, 527, F2, 61) (dual of [527, 270, 62]-code) | [i] | ✔ | |
| 7 | Linear OOA(2253, 256, F2, 2, 61) (dual of [(256, 2), 259, 62]-NRT-code) | [i] | OOA Folding | |