Information on Result #697450
Linear OA(32108, 1038, F32, 54) (dual of [1038, 930, 55]-code), using construction X applied to Ce(53) ⊂ Ce(48) based on
- linear OA(32104, 1024, F32, 54) (dual of [1024, 920, 55]-code), using an extension Ce(53) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,53], and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(3294, 1024, F32, 49) (dual of [1024, 930, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(324, 14, F32, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,32)), using
- discarding factors / shortening the dual code based on linear OA(324, 32, F32, 4) (dual of [32, 28, 5]-code or 32-arc in PG(3,32)), using
- Reed–Solomon code RS(28,32) [i]
- discarding factors / shortening the dual code based on linear OA(324, 32, F32, 4) (dual of [32, 28, 5]-code or 32-arc in PG(3,32)), 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(32108, 519, F32, 2, 54) (dual of [(519, 2), 930, 55]-NRT-code) | [i] | OOA Folding | |