Information on Result #696974
Linear OA(32110, 32796, F32, 36) (dual of [32796, 32686, 37]-code), using construction X applied to Ce(35) ⊂ Ce(27) based on
- linear OA(32103, 32768, F32, 36) (dual of [32768, 32665, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(3282, 32768, F32, 28) (dual of [32768, 32686, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(327, 28, F32, 7) (dual of [28, 21, 8]-code or 28-arc in PG(6,32)), using
- discarding factors / shortening the dual code based on linear OA(327, 32, F32, 7) (dual of [32, 25, 8]-code or 32-arc in PG(6,32)), using
- Reed–Solomon code RS(25,32) [i]
- discarding factors / shortening the dual code based on linear OA(327, 32, F32, 7) (dual of [32, 25, 8]-code or 32-arc in PG(6,32)), 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(32110, 29187, F32, 2, 36) (dual of [(29187, 2), 58264, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (74, 110, 29187)-net over F32 | [i] | ||
| 3 | Linear OOA(32110, 16398, F32, 2, 36) (dual of [(16398, 2), 32686, 37]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(32110, 1822, F32, 36, 36) (dual of [(1822, 36), 65482, 37]-NRT-code) | [i] | OA Folding and Stacking | |