Information on Result #658592
Linear OA(927, 33, F9, 22) (dual of [33, 6, 23]-code), using construction X applied to AG(F,4P) ⊂ AG(F,8P) 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(921, 27, F9, 18) (dual of [27, 6, 19]-code), using algebraic-geometric code AG(F,8P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28 (see above)
- linear OA(93, 6, F9, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,9) or 6-cap in PG(2,9)), using
- discarding factors / shortening the dual code based on linear OA(93, 9, F9, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,9) or 9-cap in PG(2,9)), using
- Reed–Solomon code RS(6,9) [i]
- discarding factors / shortening the dual code based on linear OA(93, 9, F9, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,9) or 9-cap in PG(2,9)), 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 OOA(3186, 99, F3, 2, 114) (dual of [(99, 2), 12, 115]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |