Information on Result #610571
Linear OA(48, 10, F4, 7) (dual of [10, 2, 8]-code), using repeating each code word 2 times based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(2,4) [i]
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(47, 9, F4, 6) (dual of [9, 2, 7]-code) | [i] | Truncation | |
| 2 | Linear OA(453, 266, F4, 15) (dual of [266, 213, 16]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(475, 4106, F4, 15) (dual of [4106, 4031, 16]-code) | [i] | ||
| 4 | Linear OA(486, 16394, F4, 15) (dual of [16394, 16308, 16]-code) | [i] | ||
| 5 | Linear OA(497, 65546, F4, 15) (dual of [65546, 65449, 16]-code) | [i] | ||
| 6 | Linear OA(4108, 262154, F4, 15) (dual of [262154, 262046, 16]-code) | [i] | ||
| 7 | Linear OA(4119, 1048586, F4, 15) (dual of [1048586, 1048467, 16]-code) | [i] | ||
| 8 | Linear OA(4130, 4194314, F4, 15) (dual of [4194314, 4194184, 16]-code) | [i] | ||
| 9 | Linear OA(449, 266, F4, 14) (dual of [266, 217, 15]-code) | [i] | ||
| 10 | Linear OA(459, 1034, F4, 14) (dual of [1034, 975, 15]-code) | [i] | ||
| 11 | Linear OA(469, 4106, F4, 14) (dual of [4106, 4037, 15]-code) | [i] | ||
| 12 | Linear OA(479, 16394, F4, 14) (dual of [16394, 16315, 15]-code) | [i] | ||
| 13 | Linear OA(489, 65546, F4, 14) (dual of [65546, 65457, 15]-code) | [i] | ||
| 14 | Linear OA(499, 262154, F4, 14) (dual of [262154, 262055, 15]-code) | [i] | ||
| 15 | Linear OA(4109, 1048586, F4, 14) (dual of [1048586, 1048477, 15]-code) | [i] | ||
| 16 | Linear OA(4119, 4194314, F4, 14) (dual of [4194314, 4194195, 15]-code) | [i] | ||
| 17 | Linear OOA(256, 30, F2, 2, 39) (dual of [(30, 2), 4, 40]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 18 | Linear OOA(296, 50, F2, 2, 63) (dual of [(50, 2), 4, 64]-NRT-code) | [i] | ||
| 19 | Linear OOA(2156, 80, F2, 2, 103) (dual of [(80, 2), 4, 104]-NRT-code) | [i] | ||
| 20 | Linear OOA(2216, 110, F2, 2, 143) (dual of [(110, 2), 4, 144]-NRT-code) | [i] | ||
| 21 | Linear OA(4257, 267, F4, 179) (dual of [267, 10, 180]-code) | [i] | Construction X with Cyclic Codes | |
| 22 | Linear OA(4257, 266, F4, 183) (dual of [266, 9, 184]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 23 | Linear OA(491, 95, F4, 67) (dual of [95, 4, 68]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 24 | Linear OA(487, 95, F4, 55) (dual of [95, 8, 56]-code) | [i] | ||