Information on Result #697639
Linear OA(3291, 1052, F32, 43) (dual of [1052, 961, 44]-code), using construction X applied to Ce(42) ⊂ Ce(32) based on
- linear OA(3282, 1024, F32, 43) (dual of [1024, 942, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(3263, 1024, F32, 33) (dual of [1024, 961, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(329, 28, F32, 9) (dual of [28, 19, 10]-code or 28-arc in PG(8,32)), using
- discarding factors / shortening the dual code based on linear OA(329, 32, F32, 9) (dual of [32, 23, 10]-code or 32-arc in PG(8,32)), using
- Reed–Solomon code RS(23,32) [i]
- discarding factors / shortening the dual code based on linear OA(329, 32, F32, 9) (dual of [32, 23, 10]-code or 32-arc in PG(8,32)), 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 | OA(16114, 1052, S16, 43) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(3291, 1029, F32, 2, 43) (dual of [(1029, 2), 1967, 44]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (48, 91, 1029)-net over F32 | [i] | ||
| 4 | Linear OOA(3291, 526, F32, 2, 43) (dual of [(526, 2), 961, 44]-NRT-code) | [i] | OOA Folding | |