Information on Result #644530
Linear OA(932, 46, F9, 21) (dual of [46, 14, 22]-code), using construction X applied to AG(F,17P) ⊂ AG(F,21P) based on
- linear OA(929, 39, F9, 21) (dual of [39, 10, 22]-code), using algebraic-geometric code AG(F,17P) [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- linear OA(925, 39, F9, 17) (dual of [39, 14, 18]-code), using algebraic-geometric code AG(F,21P) [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40 (see above)
- linear OA(93, 7, F9, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,9) or 7-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(932, 23, F9, 2, 21) (dual of [(23, 2), 14, 22]-NRT-code) | [i] | OOA Folding | |