Information on Result #700477
Linear OA(25662, 65571, F256, 26) (dual of [65571, 65509, 27]-code), using construction X applied to Ce(25) ⊂ Ce(13) based on
- linear OA(25651, 65536, F256, 26) (dual of [65536, 65485, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(25627, 65536, F256, 14) (dual of [65536, 65509, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(25611, 35, F256, 11) (dual of [35, 24, 12]-code or 35-arc in PG(10,256)), using
- discarding factors / shortening the dual code based on linear OA(25611, 256, F256, 11) (dual of [256, 245, 12]-code or 256-arc in PG(10,256)), using
- Reed–Solomon code RS(245,256) [i]
- discarding factors / shortening the dual code based on linear OA(25611, 256, F256, 11) (dual of [256, 245, 12]-code or 256-arc in PG(10,256)), 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 | OA(12871, 65571, S128, 26) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(25662, 50777, F256, 2, 26) (dual of [(50777, 2), 101492, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(25662, 50777, F256, 3, 26) (dual of [(50777, 3), 152269, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(25662, 50777, F256, 4, 26) (dual of [(50777, 4), 203046, 27]-NRT-code) | [i] | ||
| 5 | Linear OOA(25662, 50777, F256, 5, 26) (dual of [(50777, 5), 253823, 27]-NRT-code) | [i] | ||
| 6 | Linear OOA(25662, 50777, F256, 6, 26) (dual of [(50777, 6), 304600, 27]-NRT-code) | [i] | ||
| 7 | Digital (36, 62, 50777)-net over F256 | [i] | ||
| 8 | Linear OOA(25662, 32785, F256, 2, 26) (dual of [(32785, 2), 65508, 27]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(25662, 21857, F256, 3, 26) (dual of [(21857, 3), 65509, 27]-NRT-code) | [i] | ||
| 10 | Linear OOA(25662, 13114, F256, 5, 26) (dual of [(13114, 5), 65508, 27]-NRT-code) | [i] | ||