Information on Result #611004
Linear OA(255, 513, F2, 13) (dual of [513, 458, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 218−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(254, 512, F2, 12) (dual of [512, 458, 13]-code) | [i] | Truncation | |
| 2 | Linear OA(259, 518, F2, 13) (dual of [518, 459, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(276, 517, F2, 17) (dual of [517, 441, 18]-code) | [i] | ✔ | |
| 4 | Linear OA(277, 521, F2, 17) (dual of [521, 444, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(278, 529, F2, 17) (dual of [529, 451, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(279, 537, F2, 17) (dual of [537, 458, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(258, 517, F2, 13) (dual of [517, 459, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(259, 521, F2, 13) (dual of [521, 462, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(260, 529, F2, 13) (dual of [529, 469, 14]-code) | [i] | ✔ | |
| 10 | Linear OOA(255, 171, F2, 3, 13) (dual of [(171, 3), 458, 14]-NRT-code) | [i] | OOA Folding | |