Information on Result #696915
Linear OA(3221, 32779, F32, 7) (dual of [32779, 32758, 8]-code), using construction X applied to Ce(6) ⊂ Ce(3) based on
- linear OA(3219, 32768, F32, 7) (dual of [32768, 32749, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(3210, 32768, F32, 4) (dual of [32768, 32758, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(322, 11, F32, 2) (dual of [11, 9, 3]-code or 11-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(3221, 32779, F32, 2, 7) (dual of [(32779, 2), 65537, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (14, 21, 32779)-net over F32 | [i] | ||
| 3 | Linear OOA(3221, 16389, F32, 2, 7) (dual of [(16389, 2), 32757, 8]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3221, 10926, F32, 7, 7) (dual of [(10926, 7), 76461, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |