Information on Result #697265
Linear OA(32102, 1026, F32, 53) (dual of [1026, 924, 54]-code), using construction X applied to Ce(52) ⊂ Ce(51) based on
- linear OA(32102, 1024, F32, 53) (dual of [1024, 922, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(32100, 1024, F32, 52) (dual of [1024, 924, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [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(32102, 513, F32, 2, 53) (dual of [(513, 2), 924, 54]-NRT-code) | [i] | OOA Folding | |