Information on Result #658587
Linear OA(924, 27, F9, 22) (dual of [27, 3, 23]-code), using algebraic-geometric code AG(F,4P) with known gap numbers 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 OOA(3156, 81, F3, 2, 114) (dual of [(81, 2), 6, 115]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 2 | Linear OOA(3152, 78, F3, 2, 114) (dual of [(78, 2), 4, 115]-NRT-code) | [i] | ||
| 3 | Linear OOA(3210, 108, F3, 2, 160) (dual of [(108, 2), 6, 161]-NRT-code) | [i] | ||
| 4 | Linear OOA(3204, 104, F3, 2, 160) (dual of [(104, 2), 4, 161]-NRT-code) | [i] | ||
| 5 | Linear OA(925, 29, F9, 22) (dual of [29, 4, 23]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 6 | Linear OA(926, 31, F9, 22) (dual of [31, 5, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(927, 33, F9, 22) (dual of [33, 6, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(928, 35, F9, 22) (dual of [35, 7, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(929, 37, F9, 22) (dual of [37, 8, 23]-code) | [i] | ✔ | |
| 10 | Linear OOA(924, 13, F9, 2, 22) (dual of [(13, 2), 2, 23]-NRT-code) | [i] | OOA Folding | |