Information on Result #618698
Linear OA(645, 65, F64, 5) (dual of [65, 60, 6]-code or 65-arc in PG(4,64)), using the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound)
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(810, 130, F8, 5) (dual of [130, 120, 6]-code) | [i] | Trace Code | |
| 2 | OA(326, 65, S32, 5) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6416, 130, F64, 11) (dual of [130, 114, 12]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6417, 145, F64, 11) (dual of [145, 128, 12]-code) | [i] | ||
| 5 | Linear OA(6426, 4162, F64, 11) (dual of [4162, 4136, 12]-code) | [i] | ||
| 6 | Linear OA(6436, 262210, F64, 11) (dual of [262210, 262174, 12]-code) | [i] | ||
| 7 | Linear OA(6415, 130, F64, 10) (dual of [130, 115, 11]-code) | [i] | ||
| 8 | Linear OA(6424, 4161, F64, 10) (dual of [4161, 4137, 11]-code) | [i] | ||
| 9 | Linear OA(6433, 262209, F64, 10) (dual of [262209, 262176, 11]-code) | [i] | ||
| 10 | Linear OA(6426, 4163, F64, 11) (dual of [4163, 4137, 12]-code) | [i] | ||
| 11 | Linear OA(6436, 262212, F64, 11) (dual of [262212, 262176, 12]-code) | [i] | ||
| 12 | Linear OA(6424, 4163, F64, 10) (dual of [4163, 4139, 11]-code) | [i] | ||
| 13 | Linear OA(6433, 262212, F64, 10) (dual of [262212, 262179, 11]-code) | [i] | ||
| 14 | Linear OA(6429, 4160, F64, 11) (dual of [4160, 4131, 12]-code) | [i] | Generalized (u, u+v)-Construction | |
| 15 | Linear OA(6410, 4160, F64, 5) (dual of [4160, 4150, 6]-code) | [i] | ||
| 16 | Linear OA(6446, 4227, F64, 17) (dual of [4227, 4181, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 17 | Linear OA(6447, 4242, F64, 17) (dual of [4242, 4195, 18]-code) | [i] | ||
| 18 | Linear OA(6462, 262275, F64, 17) (dual of [262275, 262213, 18]-code) | [i] | ||
| 19 | Linear OA(6463, 262290, F64, 17) (dual of [262290, 262227, 18]-code) | [i] | ||
| 20 | Linear OA(6444, 4226, F64, 16) (dual of [4226, 4182, 17]-code) | [i] | ||
| 21 | Linear OA(6459, 262274, F64, 16) (dual of [262274, 262215, 17]-code) | [i] | ||
| 22 | Linear OA(6460, 262289, F64, 16) (dual of [262289, 262229, 17]-code) | [i] | ||
| 23 | Linear OA(6441, 4227, F64, 15) (dual of [4227, 4186, 16]-code) | [i] | ||
| 24 | Linear OA(6455, 262275, F64, 15) (dual of [262275, 262220, 16]-code) | [i] | ||
| 25 | Linear OA(6456, 262290, F64, 15) (dual of [262290, 262234, 16]-code) | [i] | ||
| 26 | Linear OA(6429, 4227, F64, 11) (dual of [4227, 4198, 12]-code) | [i] | ||
| 27 | Linear OA(6439, 262275, F64, 11) (dual of [262275, 262236, 12]-code) | [i] | ||
| 28 | Linear OA(6436, 262274, F64, 10) (dual of [262274, 262238, 11]-code) | [i] | ||
| 29 | Linear OA(646, 67, F64, 5) (dual of [67, 61, 6]-code) | [i] | ✔ | Construction X with Cyclic Codes |