Information on Result #644452
Linear OA(923, 27, F9, 20) (dual of [27, 4, 21]-code), using algebraic-geometric code AG(F,6P) based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [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(9104, 108, F9, 83) (dual of [108, 4, 84]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(9131, 135, F9, 104) (dual of [135, 4, 105]-code) | [i] | ||
| 3 | Linear OA(9105, 109, F9, 92) (dual of [109, 4, 93]-code) | [i] | Juxtaposition | |
| 4 | Linear OA(9115, 119, F9, 99) (dual of [119, 4, 100]-code) | [i] | ||
| 5 | Linear OA(9115, 119, F9, 100) (dual of [119, 4, 101]-code) | [i] | ||
| 6 | Linear OA(3100, 108, F3, 62) (dual of [108, 8, 63]-code) | [i] | Concatenation of Two Codes | |
| 7 | Linear OOA(3154, 81, F3, 2, 104) (dual of [(81, 2), 8, 105]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 8 | Linear OOA(3208, 108, F3, 2, 146) (dual of [(108, 2), 8, 147]-NRT-code) | [i] | ||
| 9 | Linear OA(931, 35, F9, 26) (dual of [35, 4, 27]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 10 | Linear OA(925, 29, F9, 22) (dual of [29, 4, 23]-code) | [i] | ✔ | |
| 11 | Linear OA(927, 31, F9, 23) (dual of [31, 4, 24]-code) | [i] | ✔ | |