Information on Result #604651
Linear OA(414, 15, F4, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,4)), using dual of repetition code with length 15
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(414, 15, F4, 13) (dual of [15, 1, 14]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(414, 15, F4, 12) (dual of [15, 1, 13]-code) | [i] | ||
| 3 | Linear OA(4141, 4111, F4, 29) (dual of [4111, 3970, 30]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(4162, 16399, F4, 29) (dual of [16399, 16237, 30]-code) | [i] | ||
| 5 | Linear OA(4183, 65551, F4, 29) (dual of [65551, 65368, 30]-code) | [i] | ||
| 6 | Linear OA(4204, 262159, F4, 29) (dual of [262159, 261955, 30]-code) | [i] | ||
| 7 | Linear OA(4225, 1048591, F4, 29) (dual of [1048591, 1048366, 30]-code) | [i] | ||
| 8 | Linear OA(4246, 4194319, F4, 29) (dual of [4194319, 4194073, 30]-code) | [i] | ||
| 9 | Linear OA(4227, 4125, F4, 44) (dual of [4125, 3898, 45]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 10 | Linear OA(4260, 16413, F4, 44) (dual of [16413, 16153, 45]-code) | [i] | ||
| 11 | Linear OA(4216, 4126, F4, 42) (dual of [4126, 3910, 43]-code) | [i] | ||
| 12 | Linear OA(4247, 16414, F4, 42) (dual of [16414, 16167, 43]-code) | [i] | ||
| 13 | Linear OA(440, 45, F4, 29) (dual of [45, 5, 30]-code) | [i] | ||
| 14 | Linear OA(449, 358, F4, 14) (dual of [358, 309, 15]-code) | [i] | Varšamov–Edel Lengthening | |
| 15 | Linear OA(4162, 186, F4, 44) (dual of [186, 24, 45]-code) | [i] | Construction X with Cyclic Codes | |
| 16 | Linear OA(4213, 528, F4, 44) (dual of [528, 315, 45]-code) | [i] | ||
| 17 | Linear OA(4246, 698, F4, 44) (dual of [698, 452, 45]-code) | [i] | ||
| 18 | Linear OA(4257, 2064, F4, 44) (dual of [2064, 1807, 45]-code) | [i] | ||
| 19 | Linear OA(4126, 134, F4, 58) (dual of [134, 8, 59]-code) | [i] | ||
| 20 | Linear OA(4231, 240, F4, 89) (dual of [240, 9, 90]-code) | [i] | ||
| 21 | Linear OA(4232, 240, F4, 104) (dual of [240, 8, 105]-code) | [i] | ||
| 22 | Linear OA(4223, 232, F4, 107) (dual of [232, 9, 108]-code) | [i] | ||
| 23 | Linear OA(4234, 240, F4, 119) (dual of [240, 6, 120]-code) | [i] | ||
| 24 | Linear OA(4229, 246, F4, 144) (dual of [246, 17, 145]-code) | [i] | Construction X with Varšamov Bound | |
| 25 | Linear OA(4230, 247, F4, 145) (dual of [247, 17, 146]-code) | [i] | ||