Information on Result #657101

Linear OA(830, 35, F8, 23) (dual of [35, 5, 24]-code), using construction XX applied to AG(F,0P) ⊂ AG(F,3P) ⊂ AG(F,4P) based on
  1. linear OA(823, 24, F8, 23) (dual of [24, 1, 24]-code or 24-arc in PG(22,8)), using algebraic-geometric code AG(F,0P) with degP = 2 [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using the Klein quartic over F8 [i]
  2. linear OA(820, 24, F8, 17) (dual of [24, 4, 18]-code), using algebraic-geometric code AG(F,3P) with degP = 2 [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24 (see above)
  3. linear OA(818, 24, F8, 15) (dual of [24, 6, 16]-code), using algebraic-geometric code AG(F,4P) with degP = 2 [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24 (see above)
  4. linear OA(85, 9, F8, 5) (dual of [9, 4, 6]-code or 9-arc in PG(4,8)), using
  5. linear OA(81, 2, F8, 1) (dual of [2, 1, 2]-code), 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

None.