Information on Result #611034
Linear OA(2115, 524289, F2, 13) (dual of [524289, 524174, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 524289 | 238−1, 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(2114, 524288, F2, 12) (dual of [524288, 524174, 13]-code) | [i] | Truncation | |
| 2 | Linear OA(2121, 524296, F2, 13) (dual of [524296, 524175, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2156, 524293, F2, 17) (dual of [524293, 524137, 18]-code) | [i] | ✔ | |
| 4 | Linear OA(2157, 524297, F2, 17) (dual of [524297, 524140, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(2158, 524305, F2, 17) (dual of [524305, 524147, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(2159, 524321, F2, 17) (dual of [524321, 524162, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(2160, 524334, F2, 17) (dual of [524334, 524174, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(2118, 524293, F2, 13) (dual of [524293, 524175, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(2119, 524297, F2, 13) (dual of [524297, 524178, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(2120, 524305, F2, 13) (dual of [524305, 524185, 14]-code) | [i] | ✔ | |
| 11 | Linear OOA(2115, 174763, F2, 3, 13) (dual of [(174763, 3), 524174, 14]-NRT-code) | [i] | OOA Folding | |