Information on Result #658593
Linear OA(928, 35, F9, 22) (dual of [35, 7, 23]-code), using construction X applied to AG(F,4P) ⊂ AG(F,9P) 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(920, 27, F9, 17) (dual of [27, 7, 18]-code), using algebraic-geometric code AG(F,9P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28 (see above)
- linear OA(94, 8, F9, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,9)), using
- discarding factors / shortening the dual code based on linear OA(94, 9, F9, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,9)), using
- Reed–Solomon code RS(5,9) [i]
- discarding factors / shortening the dual code based on linear OA(94, 9, F9, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,9)), using
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(9119, 126, F9, 93) (dual of [126, 7, 94]-code) | [i] | Juxtaposition | |