Information on Result #697261
Linear OA(32110, 1026, F32, 57) (dual of [1026, 916, 58]-code), using construction X applied to Ce(56) ⊂ Ce(55) based on
- linear OA(32110, 1024, F32, 57) (dual of [1024, 914, 58]-code), using an extension Ce(56) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(32108, 1024, F32, 56) (dual of [1024, 916, 57]-code), using an extension Ce(55) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,55], and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-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 OOA(32110, 513, F32, 2, 57) (dual of [(513, 2), 916, 58]-NRT-code) | [i] | OOA Folding | |