Information on Result #644465
Linear OA(922, 27, F9, 19) (dual of [27, 5, 20]-code), using algebraic-geometric code AG(F,7P) 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(949, 54, F9, 39) (dual of [54, 5, 40]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(9126, 130, F9, 99) (dual of [130, 4, 100]-code) | [i] | ||
| 3 | Linear OA(9123, 128, F9, 100) (dual of [128, 5, 101]-code) | [i] | Juxtaposition | |
| 4 | Linear OA(9104, 108, F9, 91) (dual of [108, 4, 92]-code) | [i] | ||
| 5 | Linear OA(9114, 118, F9, 99) (dual of [118, 4, 100]-code) | [i] | ||
| 6 | Linear OA(9149, 154, F9, 126) (dual of [154, 5, 127]-code) | [i] | ||
| 7 | Linear OA(398, 108, F3, 59) (dual of [108, 10, 60]-code) | [i] | Concatenation of Two Codes | |
| 8 | Linear OOA(3152, 81, F3, 2, 99) (dual of [(81, 2), 10, 100]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 9 | Linear OOA(3148, 78, F3, 2, 99) (dual of [(78, 2), 8, 100]-NRT-code) | [i] | ||
| 10 | Linear OOA(3206, 108, F3, 2, 139) (dual of [(108, 2), 10, 140]-NRT-code) | [i] | ||
| 11 | Linear OOA(3200, 104, F3, 2, 139) (dual of [(104, 2), 8, 140]-NRT-code) | [i] | ||
| 12 | Linear OA(926, 31, F9, 22) (dual of [31, 5, 23]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 13 | Linear OA(928, 33, F9, 23) (dual of [33, 5, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(932, 38, F9, 25) (dual of [38, 6, 26]-code) | [i] | ✔ | Construction XX with a Chain of Algebraic-Geometric Codes |