Information on Result #696942
Linear OA(3283, 32787, F32, 27) (dual of [32787, 32704, 28]-code), using construction X applied to Ce(26) ⊂ Ce(21) based on
- linear OA(3279, 32768, F32, 27) (dual of [32768, 32689, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(3264, 32768, F32, 22) (dual of [32768, 32704, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(324, 19, F32, 4) (dual of [19, 15, 5]-code or 19-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(3283, 28377, F32, 2, 27) (dual of [(28377, 2), 56671, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (56, 83, 28377)-net over F32 | [i] | ||
| 3 | Linear OOA(3283, 16393, F32, 2, 27) (dual of [(16393, 2), 32703, 28]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3283, 2522, F32, 27, 27) (dual of [(2522, 27), 68011, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |