Information on Result #658595

Linear OA(930, 37, F9, 23) (dual of [37, 7, 24]-code), using construction X applied to AG(F,3P) ⊂ AG(F,9P) based on
  1. linear OA(925, 27, F9, 23) (dual of [27, 2, 24]-code), using algebraic-geometric code AG(F,3P) 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]
  2. 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)
  3. linear OA(95, 10, F9, 5) (dual of [10, 5, 6]-code or 10-arc in PG(4,9)), 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:

ResultThis
result
only
Method
1Linear OA(9121, 128, F9, 94) (dual of [128, 7, 95]-code) [i]Juxtaposition