Information on Result #700534
Linear OA(247, 63, F2, 22) (dual of [63, 16, 23]-code), using the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 23
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2169, 183, F2, 68) (dual of [183, 14, 69]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(2167, 180, F2, 68) (dual of [180, 13, 69]-code) | [i] | ||
| 3 | Linear OA(2165, 177, F2, 68) (dual of [177, 12, 69]-code) | [i] | ||
| 4 | Linear OA(2163, 174, F2, 68) (dual of [174, 11, 69]-code) | [i] | ||
| 5 | Linear OA(2161, 171, F2, 68) (dual of [171, 10, 69]-code) | [i] | ||
| 6 | Linear OA(2159, 168, F2, 68) (dual of [168, 9, 69]-code) | [i] | ||
| 7 | Linear OA(246, 56, F2, 22) (dual of [56, 10, 23]-code) | [i] | Construction Y1 | |
| 8 | Linear OA(260, 78, F2, 26) (dual of [78, 18, 27]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 9 | Linear OA(256, 74, F2, 24) (dual of [74, 18, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(275, 91, F2, 32) (dual of [91, 16, 33]-code) | [i] | ✔ | |
| 11 | Linear OOA(247, 31, F2, 2, 22) (dual of [(31, 2), 15, 23]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(247, 21, F2, 3, 22) (dual of [(21, 3), 16, 23]-NRT-code) | [i] | ||
| 13 | Linear OOA(247, 12, F2, 5, 22) (dual of [(12, 5), 13, 23]-NRT-code) | [i] | ||