MinT - Information on Result #2212983

Information on Result #2212983

Linear OA(8⁹⁵, 99, F₈, 80) (dual of [99, 4, 81]-code), using strength reduction based on linear OA(8⁹⁵, 99, F₈, 81) (dual of [99, 4, 82]-code), using

juxtaposition [i] based on
1. linear OA(8²⁰, 24, F₈, 17) (dual of [24, 4, 18]-code), using
  - extended algebraic-geometric code AG_e(F,6P) [i] based on function field F/F₈ with g(F) = 3 and N(F) ≥ 24, using
    - the Klein quartic over F₈ [i]
  - algebraic-geometric code AG(F,3P) with degPÂ =Â 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(8⁷¹, 75, F₈, 63) (dual of [75, 4, 64]-code), using
  - constructionÂ X applied to C₁ âŠ‚ C₂ with C₁ a [65,1,64]-code [i] based on
    1. linear OA(8⁶¹, 65, F₈, 55) (dual of [65, 4, 56]-code), using projective code from ovoid in PG(3,Â 8) [i]
    2. linear OA(8⁷, 10, F₈, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,8)), using
      - Denniston code D(1,8) [i]

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(8⁹⁵, 33, F₈, 3, 80) (dual of [(33, 3), 4, 81]-NRT-code)	[i]		OOA Folding