Information on Result #606959
Linear OA(646, 65, F64, 6) (dual of [65, 59, 7]-code or 65-arc in PG(5,64)), using extended Reed–Solomon code RSe(59,64)
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(812, 130, F8, 6) (dual of [130, 118, 7]-code) | [i] | Trace Code | |
| 2 | Linear OA(811, 65, F8, 6) (dual of [65, 54, 7]-code) | [i] | Base Reduction for Projective Spaces | |
| 3 | OA(169, 65, S16, 6) | [i] | Discarding Parts of the Base for OAs | |
| 4 | OA(328, 65, S32, 6) | [i] | ||
| 5 | Linear OA(6431, 4162, F64, 13) (dual of [4162, 4131, 14]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(6443, 262210, F64, 13) (dual of [262210, 262167, 14]-code) | [i] | ||
| 7 | Linear OA(6429, 4161, F64, 12) (dual of [4161, 4132, 13]-code) | [i] | ||
| 8 | Linear OA(6440, 262209, F64, 12) (dual of [262209, 262169, 13]-code) | [i] | ||
| 9 | Linear OA(649, 130, F64, 6) (dual of [130, 121, 7]-code) | [i] | ||
| 10 | Linear OA(6431, 4163, F64, 13) (dual of [4163, 4132, 14]-code) | [i] | ||
| 11 | Linear OA(6443, 262212, F64, 13) (dual of [262212, 262169, 14]-code) | [i] | ||
| 12 | Linear OA(6429, 4163, F64, 12) (dual of [4163, 4134, 13]-code) | [i] | ||
| 13 | Linear OA(6440, 262212, F64, 12) (dual of [262212, 262172, 13]-code) | [i] | ||
| 14 | Linear OA(6414, 4160, F64, 6) (dual of [4160, 4146, 7]-code) | [i] | Generalized (u, u+v)-Construction | |
| 15 | Linear OA(6455, 4226, F64, 20) (dual of [4226, 4171, 21]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 16 | Linear OA(6456, 4241, F64, 20) (dual of [4241, 4185, 21]-code) | [i] | ||
| 17 | Linear OA(6474, 262274, F64, 20) (dual of [262274, 262200, 21]-code) | [i] | ||
| 18 | Linear OA(6475, 262289, F64, 20) (dual of [262289, 262214, 21]-code) | [i] | ||
| 19 | Linear OA(6452, 4227, F64, 19) (dual of [4227, 4175, 20]-code) | [i] | ||
| 20 | Linear OA(6453, 4242, F64, 19) (dual of [4242, 4189, 20]-code) | [i] | ||
| 21 | Linear OA(6470, 262275, F64, 19) (dual of [262275, 262205, 20]-code) | [i] | ||
| 22 | Linear OA(6471, 262290, F64, 19) (dual of [262290, 262219, 20]-code) | [i] | ||
| 23 | Linear OA(6450, 4226, F64, 18) (dual of [4226, 4176, 19]-code) | [i] | ||
| 24 | Linear OA(6467, 262274, F64, 18) (dual of [262274, 262207, 19]-code) | [i] | ||
| 25 | Linear OA(6468, 262289, F64, 18) (dual of [262289, 262221, 19]-code) | [i] | ||
| 26 | Linear OA(6435, 4227, F64, 13) (dual of [4227, 4192, 14]-code) | [i] | ||
| 27 | Linear OA(6447, 262275, F64, 13) (dual of [262275, 262228, 14]-code) | [i] | ||
| 28 | Linear OA(6444, 262274, F64, 12) (dual of [262274, 262230, 13]-code) | [i] | ||