Information on Result #644456
Linear OA(919, 27, F9, 16) (dual of [27, 8, 17]-code), using algebraic-geometric code AG(F,10P) 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(944, 50, F9, 33) (dual of [50, 6, 34]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(943, 48, F9, 33) (dual of [48, 5, 34]-code) | [i] | ||
| 3 | Linear OA(9100, 108, F9, 78) (dual of [108, 8, 79]-code) | [i] | Juxtaposition | |
| 4 | Linear OA(9110, 117, F9, 87) (dual of [117, 7, 88]-code) | [i] | ||
| 5 | Linear OA(9120, 126, F9, 96) (dual of [126, 6, 97]-code) | [i] | ||
| 6 | Linear OA(9120, 125, F9, 97) (dual of [125, 5, 98]-code) | [i] | ||
| 7 | Linear OA(9101, 105, F9, 88) (dual of [105, 4, 89]-code) | [i] | ||
| 8 | Linear OA(9111, 115, F9, 96) (dual of [115, 4, 97]-code) | [i] | ||
| 9 | Linear OA(9110, 118, F9, 85) (dual of [118, 8, 86]-code) | [i] | ||
| 10 | Linear OA(9113, 121, F9, 87) (dual of [121, 8, 88]-code) | [i] | ||
| 11 | Linear OA(9115, 123, F9, 88) (dual of [123, 8, 89]-code) | [i] | ||
| 12 | Linear OA(9141, 147, F9, 114) (dual of [147, 6, 115]-code) | [i] | ||
| 13 | Linear OA(9147, 153, F9, 120) (dual of [153, 6, 121]-code) | [i] | ||
| 14 | Linear OA(9149, 155, F9, 121) (dual of [155, 6, 122]-code) | [i] | ||
| 15 | Linear OA(392, 108, F3, 50) (dual of [108, 16, 51]-code) | [i] | Concatenation of Two Codes | |
| 16 | Linear OA(390, 104, F3, 50) (dual of [104, 14, 51]-code) | [i] | ||
| 17 | Linear OA(388, 100, F3, 50) (dual of [100, 12, 51]-code) | [i] | ||
| 18 | Linear OOA(3146, 81, F3, 2, 84) (dual of [(81, 2), 16, 85]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 19 | Linear OOA(3142, 78, F3, 2, 84) (dual of [(78, 2), 14, 85]-NRT-code) | [i] | ||
| 20 | Linear OOA(3138, 75, F3, 2, 84) (dual of [(75, 2), 12, 85]-NRT-code) | [i] | ||
| 21 | Linear OOA(3134, 72, F3, 2, 84) (dual of [(72, 2), 10, 85]-NRT-code) | [i] | ||
| 22 | Linear OOA(3200, 108, F3, 2, 118) (dual of [(108, 2), 16, 119]-NRT-code) | [i] | ||
| 23 | Linear OOA(3194, 104, F3, 2, 118) (dual of [(104, 2), 14, 119]-NRT-code) | [i] | ||
| 24 | Linear OOA(3188, 100, F3, 2, 118) (dual of [(100, 2), 12, 119]-NRT-code) | [i] | ||
| 25 | Linear OA(936, 44, F9, 26) (dual of [44, 8, 27]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 26 | Linear OA(929, 37, F9, 22) (dual of [37, 8, 23]-code) | [i] | ✔ | |
| 27 | Linear OA(937, 46, F9, 26) (dual of [46, 9, 27]-code) | [i] | ✔ | Construction XX with a Chain of Algebraic-Geometric Codes |
| 28 | Linear OA(995, 107, F9, 69) (dual of [107, 12, 70]-code) | [i] | Construction X with Cyclic Codes | |
| 29 | Linear OA(996, 107, F9, 70) (dual of [107, 11, 71]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |