Information on Result #697366
Linear OA(32106, 1032, F32, 54) (dual of [1032, 926, 55]-code), using construction X applied to Ce(53) ⊂ Ce(50) 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(3298, 1024, F32, 51) (dual of [1024, 926, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(322, 8, F32, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,32)), using
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- Reed–Solomon code RS(30,32) [i]
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), 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(32106, 516, F32, 2, 54) (dual of [(516, 2), 926, 55]-NRT-code) | [i] | OOA Folding | |