Information on Result #2227039
Linear OA(2241, 65552, F2, 30) (dual of [65552, 65311, 31]-code), using 1 times truncation based on linear OA(2242, 65553, F2, 31) (dual of [65553, 65311, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- linear OA(2241, 65536, F2, 31) (dual of [65536, 65295, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2225, 65536, F2, 29) (dual of [65536, 65311, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(21, 17, F2, 1) (dual of [17, 16, 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(2243, 65554, F2, 30) (dual of [65554, 65311, 31]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(2244, 65555, F2, 30) (dual of [65555, 65311, 31]-code) | [i] | ||
| 3 | Linear OA(2245, 65556, F2, 30) (dual of [65556, 65311, 31]-code) | [i] | ||
| 4 | Linear OOA(2241, 32776, F2, 2, 30) (dual of [(32776, 2), 65311, 31]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2241, 21850, F2, 3, 30) (dual of [(21850, 3), 65309, 31]-NRT-code) | [i] | ||
| 6 | Linear OOA(2241, 16388, F2, 4, 30) (dual of [(16388, 4), 65311, 31]-NRT-code) | [i] | ||
| 7 | Linear OOA(2241, 13110, F2, 5, 30) (dual of [(13110, 5), 65309, 31]-NRT-code) | [i] | ||
| 8 | Linear OOA(2241, 10925, F2, 6, 30) (dual of [(10925, 6), 65309, 31]-NRT-code) | [i] | ||
| 9 | Linear OOA(2241, 9364, F2, 7, 30) (dual of [(9364, 7), 65307, 31]-NRT-code) | [i] | ||
| 10 | Linear OOA(2241, 8194, F2, 8, 30) (dual of [(8194, 8), 65311, 31]-NRT-code) | [i] | ||
| 11 | Linear OOA(2241, 4370, F2, 30, 30) (dual of [(4370, 30), 130859, 31]-NRT-code) | [i] | OA Folding and Stacking | |