Information on Result #609935
Linear OA(522, 26, F5, 19) (dual of [26, 4, 20]-code), using projective code from ovoid in PG(3, 5)
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(522, 26, F5, 18) (dual of [26, 4, 19]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(523, 27, F5, 19) (dual of [27, 4, 20]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(521, 25, F5, 18) (dual of [25, 4, 19]-code) | [i] | Truncation | |
| 4 | Linear OA(519, 23, F5, 16) (dual of [23, 4, 17]-code) | [i] | ||
| 5 | Linear OA(518, 22, F5, 15) (dual of [22, 4, 16]-code) | [i] | ||
| 6 | Linear OA(517, 21, F5, 14) (dual of [21, 4, 15]-code) | [i] | ||
| 7 | Linear OA(516, 20, F5, 13) (dual of [20, 4, 14]-code) | [i] | ||
| 8 | Linear OA(515, 19, F5, 12) (dual of [19, 4, 13]-code) | [i] | ||
| 9 | Linear OA(514, 18, F5, 11) (dual of [18, 4, 12]-code) | [i] | ||
| 10 | Linear OA(513, 17, F5, 10) (dual of [17, 4, 11]-code) | [i] | ||
| 11 | Linear OA(512, 16, F5, 9) (dual of [16, 4, 10]-code) | [i] | ||
| 12 | Linear OA(548, 52, F5, 39) (dual of [52, 4, 40]-code) | [i] | Repeating Each Code Word | |
| 13 | Linear OA(574, 78, F5, 59) (dual of [78, 4, 60]-code) | [i] | ||
| 14 | Linear OA(5141, 651, F5, 38) (dual of [651, 510, 39]-code) | [i] | (u, u+v)-Construction | |
| 15 | Linear OA(535, 52, F5, 19) (dual of [52, 17, 20]-code) | [i] | ||
| 16 | Linear OA(5125, 130, F5, 99) (dual of [130, 5, 100]-code) | [i] | Generalized (u, u+v)-Construction | |
| 17 | Linear OA(526, 30, F5, 20) (dual of [30, 4, 21]-code) | [i] | Juxtaposition | |
| 18 | Linear OA(527, 31, F5, 21) (dual of [31, 4, 22]-code) | [i] | ||
| 19 | Linear OA(528, 32, F5, 22) (dual of [32, 4, 23]-code) | [i] | ||
| 20 | Linear OA(530, 34, F5, 23) (dual of [34, 4, 24]-code) | [i] | ||
| 21 | Linear OA(531, 35, F5, 24) (dual of [35, 4, 25]-code) | [i] | ||
| 22 | Linear OA(532, 36, F5, 25) (dual of [36, 4, 26]-code) | [i] | ||
| 23 | Linear OA(534, 38, F5, 26) (dual of [38, 4, 27]-code) | [i] | ||
| 24 | Linear OA(535, 39, F5, 27) (dual of [39, 4, 28]-code) | [i] | ||
| 25 | Linear OA(554, 58, F5, 43) (dual of [58, 4, 44]-code) | [i] | ||
| 26 | Linear OA(526, 30, F5, 21) (dual of [30, 4, 22]-code) | [i] | ✔ | Construction X with Ovoid |
| 27 | Linear OA(530, 34, F5, 24) (dual of [34, 4, 25]-code) | [i] | ✔ | |
| 28 | Linear OA(528, 32, F5, 23) (dual of [32, 4, 24]-code) | [i] | ✔ | |
| 29 | Linear OOA(522, 13, F5, 2, 19) (dual of [(13, 2), 4, 20]-NRT-code) | [i] | OOA Folding | |