Information on Result #622249
Linear OA(919, 28, F9, 16) (dual of [28, 9, 17]-code), using extended algebraic-geometric code AGe(F,11P) 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, 757, F9, 32) (dual of [757, 653, 33]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(9101, 110, F9, 78) (dual of [110, 9, 79]-code) | [i] | Juxtaposition | |
| 3 | Linear OA(9111, 120, F9, 84) (dual of [120, 9, 85]-code) | [i] | ||
| 4 | Linear OA(9115, 124, F9, 87) (dual of [124, 9, 88]-code) | [i] | ||
| 5 | Linear OA(9117, 126, F9, 88) (dual of [126, 9, 89]-code) | [i] | ||
| 6 | Linear OA(366, 84, F3, 33) (dual of [84, 18, 34]-code) | [i] | Concatenation of Two Codes | |
| 7 | Linear OA(394, 112, F3, 50) (dual of [112, 18, 51]-code) | [i] | ||
| 8 | Linear OOA(3150, 84, F3, 2, 84) (dual of [(84, 2), 18, 85]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 9 | Linear OA(9107, 119, F9, 77) (dual of [119, 12, 78]-code) | [i] | Construction X with Cyclic Codes | |
| 10 | Linear OA(992, 110, F9, 60) (dual of [110, 18, 61]-code) | [i] | ||
| 11 | Linear OA(9104, 121, F9, 67) (dual of [121, 17, 68]-code) | [i] | Construction XX with Cyclic Codes | |
| 12 | Linear OA(9101, 118, F9, 65) (dual of [118, 17, 66]-code) | [i] | ||
| 13 | Linear OA(9105, 123, F9, 68) (dual of [123, 18, 69]-code) | [i] | ||
| 14 | Linear OA(9104, 121, F9, 68) (dual of [121, 17, 69]-code) | [i] | ||
| 15 | Linear OA(9101, 118, F9, 66) (dual of [118, 17, 67]-code) | [i] | ||
| 16 | Linear OA(9109, 122, F9, 76) (dual of [122, 13, 77]-code) | [i] | ||
| 17 | Linear OA(9105, 118, F9, 73) (dual of [118, 13, 74]-code) | [i] | ||
| 18 | Linear OA(9110, 123, F9, 77) (dual of [123, 13, 78]-code) | [i] | ||
| 19 | Linear OA(996, 109, F9, 69) (dual of [109, 13, 70]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 20 | Linear OA(9106, 116, F9, 77) (dual of [116, 10, 78]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 21 | Linear OOA(919, 14, F9, 2, 16) (dual of [(14, 2), 9, 17]-NRT-code) | [i] | OOA Folding | |