MinT - Information on Result #1845166

Information on Result #1845166

OA(27⁷⁵, 246, S₂₇, 46), using discarding parts of the base based on linear OA(81⁵⁶, 246, F₈₁, 46) (dual of [246, 190, 47]-code), using

constructionÂ X applied to AG(F,196P) âŠ‚ AG(F,198P) [i] based on
1. linear OA(81⁵⁵, 243, F₈₁, 46) (dual of [243, 188, 47]-code), using algebraic-geometric code AG(F,196P) [i] based on function field F/F₈₁ with g(F) = 9 and N(F) ≥ 244, using
  - K_1,1 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F₈₁ [i]
2. linear OA(81⁵³, 243, F₈₁, 44) (dual of [243, 190, 45]-code), using algebraic-geometric code AG(F,198P) [i] based on function field F/F₈₁ with g(F) = 9 and N(F) ≥ 244 (see above)
3. linear OA(81¹, 3, F₈₁, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(81¹, s, F₈₁, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [i]

Mode: Arbitrary.

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.

Other Results with Identical Parameters

None.

Depending Results

None.