MinT - Information on Result #1845046

Information on Result #1845046

OA(27⁵², 246, S₂₇, 29), using discarding parts of the base based on linear OA(81³⁹, 246, F₈₁, 29) (dual of [246, 207, 30]-code), using

constructionÂ X applied to AG(F,213P) âŠ‚ AG(F,215P) [i] based on
1. linear OA(81³⁸, 243, F₈₁, 29) (dual of [243, 205, 30]-code), using algebraic-geometric code AG(F,213P) [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(81³⁶, 243, F₈₁, 27) (dual of [243, 207, 28]-code), using algebraic-geometric code AG(F,215P) [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.