Information on Result #604646
Linear OA(49, 10, F4, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,4)), using dual of repetition code with length 10
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(49, 10, F4, 8) (dual of [10, 1, 9]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(464, 266, F4, 19) (dual of [266, 202, 20]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(460, 266, F4, 18) (dual of [266, 206, 19]-code) | [i] | ||
| 4 | Linear OA(475, 1034, F4, 18) (dual of [1034, 959, 19]-code) | [i] | ||
| 5 | Linear OA(488, 4106, F4, 18) (dual of [4106, 4018, 19]-code) | [i] | ||
| 6 | Linear OA(4101, 16394, F4, 18) (dual of [16394, 16293, 19]-code) | [i] | ||
| 7 | Linear OA(4114, 65546, F4, 18) (dual of [65546, 65432, 19]-code) | [i] | ||
| 8 | Linear OA(4127, 262154, F4, 18) (dual of [262154, 262027, 19]-code) | [i] | ||
| 9 | Linear OA(4140, 1048586, F4, 18) (dual of [1048586, 1048446, 19]-code) | [i] | ||
| 10 | Linear OA(4153, 4194314, F4, 18) (dual of [4194314, 4194161, 19]-code) | [i] | ||
| 11 | Linear OA(4146, 4116, F4, 29) (dual of [4116, 3970, 30]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 12 | Linear OA(4167, 16404, F4, 29) (dual of [16404, 16237, 30]-code) | [i] | ||
| 13 | Linear OA(4188, 65556, F4, 29) (dual of [65556, 65368, 30]-code) | [i] | ||
| 14 | Linear OA(4209, 262164, F4, 29) (dual of [262164, 261955, 30]-code) | [i] | ||
| 15 | Linear OA(4230, 1048596, F4, 29) (dual of [1048596, 1048366, 30]-code) | [i] | ||
| 16 | Linear OA(4251, 4194324, F4, 29) (dual of [4194324, 4194073, 30]-code) | [i] | ||
| 17 | Linear OA(450, 65546, F4, 9) (dual of [65546, 65496, 10]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 18 | Linear OA(442, 65546, F4, 7) (dual of [65546, 65504, 8]-code) | [i] | ||
| 19 | Linear OA(434, 65546, F4, 6) (dual of [65546, 65512, 7]-code) | [i] | ||
| 20 | Linear OA(426, 266, F4, 8) (dual of [266, 240, 9]-code) | [i] | ||
| 21 | Linear OA(422, 266, F4, 7) (dual of [266, 244, 8]-code) | [i] | ||