Information on Result #606961
Linear OA(648, 65, F64, 8) (dual of [65, 57, 9]-code or 65-arc in PG(7,64)), using extended Reed–Solomon code RSe(57,64)
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 OA(816, 130, F8, 8) (dual of [130, 114, 9]-code) | [i] | Trace Code | |
| 2 | Linear OA(815, 65, F8, 8) (dual of [65, 50, 9]-code) | [i] | Base Reduction for Projective Spaces | |
| 3 | OA(1612, 65, S16, 8) | [i] | Discarding Parts of the Base for OAs | |
| 4 | OA(3210, 65, S32, 8) | [i] | ||
| 5 | Linear OA(6441, 4162, F64, 17) (dual of [4162, 4121, 18]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(6457, 262210, F64, 17) (dual of [262210, 262153, 18]-code) | [i] | ||
| 7 | Linear OA(6439, 4161, F64, 16) (dual of [4161, 4122, 17]-code) | [i] | ||
| 8 | Linear OA(6454, 262209, F64, 16) (dual of [262209, 262155, 17]-code) | [i] | ||
| 9 | Linear OA(6412, 130, F64, 8) (dual of [130, 118, 9]-code) | [i] | ||
| 10 | Linear OA(6441, 4163, F64, 17) (dual of [4163, 4122, 18]-code) | [i] | ||
| 11 | Linear OA(6457, 262212, F64, 17) (dual of [262212, 262155, 18]-code) | [i] | ||
| 12 | Linear OA(6439, 4163, F64, 16) (dual of [4163, 4124, 17]-code) | [i] | ||
| 13 | Linear OA(6454, 262212, F64, 16) (dual of [262212, 262158, 17]-code) | [i] | ||
| 14 | Linear OA(6420, 4160, F64, 8) (dual of [4160, 4140, 9]-code) | [i] | Generalized (u, u+v)-Construction | |
| 15 | Linear OA(6472, 4226, F64, 26) (dual of [4226, 4154, 27]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 16 | Linear OA(6473, 4241, F64, 26) (dual of [4241, 4168, 27]-code) | [i] | ||
| 17 | Linear OA(6469, 4227, F64, 25) (dual of [4227, 4158, 26]-code) | [i] | ||
| 18 | Linear OA(6470, 4242, F64, 25) (dual of [4242, 4172, 26]-code) | [i] | ||
| 19 | Linear OA(6467, 4226, F64, 24) (dual of [4226, 4159, 25]-code) | [i] | ||
| 20 | Linear OA(6468, 4241, F64, 24) (dual of [4241, 4173, 25]-code) | [i] | ||
| 21 | Linear OA(6490, 262274, F64, 24) (dual of [262274, 262184, 25]-code) | [i] | ||
| 22 | Linear OA(6491, 262289, F64, 24) (dual of [262289, 262198, 25]-code) | [i] | ||
| 23 | Linear OA(6446, 4227, F64, 17) (dual of [4227, 4181, 18]-code) | [i] | ||
| 24 | Linear OA(6462, 262275, F64, 17) (dual of [262275, 262213, 18]-code) | [i] | ||
| 25 | Linear OA(6444, 4226, F64, 16) (dual of [4226, 4182, 17]-code) | [i] | ||
| 26 | Linear OA(6459, 262274, F64, 16) (dual of [262274, 262215, 17]-code) | [i] | ||