Information on Result #644101
Linear OA(819, 23, F8, 16) (dual of [23, 4, 17]-code), using algebraic-geometric code AG(F,6P) based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [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(888, 92, F8, 67) (dual of [92, 4, 68]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(8134, 138, F8, 101) (dual of [138, 4, 102]-code) | [i] | ||
| 3 | Linear OA(8157, 161, F8, 118) (dual of [161, 4, 119]-code) | [i] | ||
| 4 | Linear OA(884, 88, F8, 72) (dual of [88, 4, 73]-code) | [i] | Juxtaposition | |
| 5 | Linear OA(8149, 153, F8, 128) (dual of [153, 4, 129]-code) | [i] | ||
| 6 | Linear OA(894, 98, F8, 80) (dual of [98, 4, 81]-code) | [i] | ||
| 7 | Linear OOA(2126, 69, F2, 2, 67) (dual of [(69, 2), 12, 68]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 8 | Linear OOA(2126, 46, F2, 3, 67) (dual of [(46, 3), 12, 68]-NRT-code) | [i] | ||
| 9 | Linear OOA(2195, 69, F2, 3, 118) (dual of [(69, 3), 12, 119]-NRT-code) | [i] | ||
| 10 | Linear OA(822, 26, F8, 18) (dual of [26, 4, 19]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 11 | Linear OA(820, 26, F8, 16) (dual of [26, 6, 17]-code) | [i] | ✔ | |
| 12 | Linear OA(827, 31, F8, 22) (dual of [31, 4, 23]-code) | [i] | ✔ | |
| 13 | Linear OA(822, 30, F8, 16) (dual of [30, 8, 17]-code) | [i] | ✔ | |
| 14 | Linear OA(828, 33, F8, 22) (dual of [33, 5, 23]-code) | [i] | ✔ | Construction XX with a Chain of Algebraic-Geometric Codes |