Information on Result #696667
Linear OA(3275, 1048609, F32, 18) (dual of [1048609, 1048534, 19]-code), using construction X applied to Ce(17) ⊂ Ce(10) based on
- linear OA(3269, 1048576, F32, 18) (dual of [1048576, 1048507, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(3241, 1048576, F32, 11) (dual of [1048576, 1048535, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(326, 33, F32, 6) (dual of [33, 27, 7]-code or 33-arc in PG(5,32)), using
- extended Reed–Solomon code RSe(27,32) [i]
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(3275, 1048609, F32, 2, 18) (dual of [(1048609, 2), 2097143, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (57, 75, 1048609)-net over F32 | [i] | ||
| 3 | Linear OOA(3275, 524304, F32, 2, 18) (dual of [(524304, 2), 1048533, 19]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3275, 116512, F32, 18, 18) (dual of [(116512, 18), 2097141, 19]-NRT-code) | [i] | OA Folding and Stacking | |