Information on Result #698403
Linear OA(6480, 262176, F64, 25) (dual of [262176, 262096, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,8]) based on
- linear OA(6473, 262145, F64, 25) (dual of [262145, 262072, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(6449, 262145, F64, 17) (dual of [262145, 262096, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(647, 31, F64, 7) (dual of [31, 24, 8]-code or 31-arc in PG(6,64)), using
- discarding factors / shortening the dual code based on linear OA(647, 64, F64, 7) (dual of [64, 57, 8]-code or 64-arc in PG(6,64)), using
- Reed–Solomon code RS(57,64) [i]
- discarding factors / shortening the dual code based on linear OA(647, 64, F64, 7) (dual of [64, 57, 8]-code or 64-arc in PG(6,64)), 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(3296, 262176, S32, 25) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6480, 239294, F64, 2, 25) (dual of [(239294, 2), 478508, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(6480, 239294, F64, 3, 25) (dual of [(239294, 3), 717802, 26]-NRT-code) | [i] | ||
| 4 | Digital (55, 80, 239294)-net over F64 | [i] | ||
| 5 | Linear OOA(6480, 131088, F64, 2, 25) (dual of [(131088, 2), 262096, 26]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(6480, 87392, F64, 3, 25) (dual of [(87392, 3), 262096, 26]-NRT-code) | [i] | ||