Information on Result #658596
Linear OA(929, 37, F9, 22) (dual of [37, 8, 23]-code), using construction X applied to AG(F,4P) ⊂ AG(F,10P) based on
- linear OA(924, 27, F9, 22) (dual of [27, 3, 23]-code), using algebraic-geometric code AG(F,4P) with known gap numbers [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using the Hermitian function field over F9 [i]
- linear OA(919, 27, F9, 16) (dual of [27, 8, 17]-code), using algebraic-geometric code AG(F,10P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28 (see above)
- linear OA(95, 10, F9, 5) (dual of [10, 5, 6]-code or 10-arc in PG(4,9)), using
- extended Reed–Solomon code RSe(5,9) [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(9110, 118, F9, 84) (dual of [118, 8, 85]-code) | [i] | Juxtaposition | |