Information on Result #673923
Linear OA(2193, 264, F2, 62) (dual of [264, 71, 63]-code), using construction X applied to C([1,60]) ⊂ C([1,58]) based on
- linear OA(2192, 255, F2, 62) (dual of [255, 63, 63]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,60], and minimum distance d ≥ 63 (sporadic result) [i]
- linear OA(2184, 255, F2, 60) (dual of [255, 71, 61]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,58], and minimum distance d ≥ 61 (sporadic result) [i]
- linear OA(21, 9, F2, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(2195, 266, F2, 62) (dual of [266, 71, 63]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(2196, 267, F2, 62) (dual of [267, 71, 63]-code) | [i] | ||
| 3 | Linear OA(2197, 268, F2, 62) (dual of [268, 71, 63]-code) | [i] | ||
| 4 | Linear OA(2198, 269, F2, 62) (dual of [269, 71, 63]-code) | [i] | ||
| 5 | Linear OA(2194, 265, F2, 63) (dual of [265, 71, 64]-code) | [i] | Adding a Parity Check Bit | |
| 6 | Linear OOA(2193, 132, F2, 2, 62) (dual of [(132, 2), 71, 63]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2193, 88, F2, 3, 62) (dual of [(88, 3), 71, 63]-NRT-code) | [i] | ||