Information on Result #669697
Linear OA(6474, 4161, F64, 30) (dual of [4161, 4087, 31]-code), using (u, u+v)-construction based on
- linear OA(6415, 65, F64, 15) (dual of [65, 50, 16]-code or 65-arc in PG(14,64)), using
- extended Reed–Solomon code RSe(50,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(6459, 4096, F64, 30) (dual of [4096, 4037, 31]-code), using
- an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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(6474, 1387, F64, 3, 30) (dual of [(1387, 3), 4087, 31]-NRT-code) | [i] | OOA Folding | |