Information on Result #606957
Linear OA(644, 65, F64, 4) (dual of [65, 61, 5]-code or 65-arc in PG(3,64)), using extended Reed–Solomon code RSe(61,64)
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(88, 130, F8, 4) (dual of [130, 122, 5]-code) | [i] | Trace Code | |
| 2 | Linear OA(87, 65, F8, 4) (dual of [65, 58, 5]-code) | [i] | Base Reduction for Projective Spaces | |
| 3 | OA(325, 65, S32, 4) | [i] | Discarding Parts of the Base for OAs | |
| 4 | Linear OA(6413, 130, F64, 9) (dual of [130, 117, 10]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(6414, 145, F64, 9) (dual of [145, 131, 10]-code) | [i] | ||
| 6 | Linear OA(6421, 4162, F64, 9) (dual of [4162, 4141, 10]-code) | [i] | ||
| 7 | Linear OA(6429, 262210, F64, 9) (dual of [262210, 262181, 10]-code) | [i] | ||
| 8 | Linear OA(6412, 130, F64, 8) (dual of [130, 118, 9]-code) | [i] | ||
| 9 | Linear OA(6419, 4161, F64, 8) (dual of [4161, 4142, 9]-code) | [i] | ||
| 10 | Linear OA(6426, 262209, F64, 8) (dual of [262209, 262183, 9]-code) | [i] | ||
| 11 | Linear OA(6421, 4163, F64, 9) (dual of [4163, 4142, 10]-code) | [i] | ||
| 12 | Linear OA(6429, 262212, F64, 9) (dual of [262212, 262183, 10]-code) | [i] | ||
| 13 | Linear OA(6419, 4163, F64, 8) (dual of [4163, 4144, 9]-code) | [i] | ||
| 14 | Linear OA(6426, 262212, F64, 8) (dual of [262212, 262186, 9]-code) | [i] | ||
| 15 | Linear OA(6414, 146, F64, 9) (dual of [146, 132, 10]-code) | [i] | ||
| 16 | Linear OA(6423, 4160, F64, 9) (dual of [4160, 4137, 10]-code) | [i] | Generalized (u, u+v)-Construction | |
| 17 | Linear OA(6420, 4160, F64, 8) (dual of [4160, 4140, 9]-code) | [i] | ||
| 18 | Linear OA(648, 4160, F64, 4) (dual of [4160, 4152, 5]-code) | [i] | ||
| 19 | Linear OA(6438, 4226, F64, 14) (dual of [4226, 4188, 15]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 20 | Linear OA(6451, 262274, F64, 14) (dual of [262274, 262223, 15]-code) | [i] | ||
| 21 | Linear OA(6452, 262289, F64, 14) (dual of [262289, 262237, 15]-code) | [i] | ||
| 22 | Linear OA(6435, 4227, F64, 13) (dual of [4227, 4192, 14]-code) | [i] | ||
| 23 | Linear OA(6447, 262275, F64, 13) (dual of [262275, 262228, 14]-code) | [i] | ||
| 24 | Linear OA(6448, 262290, F64, 13) (dual of [262290, 262242, 14]-code) | [i] | ||
| 25 | Linear OA(6444, 262274, F64, 12) (dual of [262274, 262230, 13]-code) | [i] | ||
| 26 | Linear OA(6432, 262275, F64, 9) (dual of [262275, 262243, 10]-code) | [i] | ||
| 27 | Linear OA(6428, 262274, F64, 8) (dual of [262274, 262246, 9]-code) | [i] | ||