MinT - Information on Result #2526935

Information on Result #2526935

OOA(27¹⁰⁹, 383, S₂₇, 2, 51), using 27¹ times duplication based on OOA(27¹⁰⁸, 383, S₂₇, 2, 51), using

discarding parts of the base [i] based on linear OOA(81⁸¹, 383, F₈₁, 2, 51) (dual of [(383, 2), 685, 52]-NRT-code), using
- constructionÂ X applied to AG(2;F,686P) âŠ‚ AG(2;F,701P) [i] based on
  1. linear OOA(81⁶⁷, 369, F₈₁, 2, 51) (dual of [(369, 2), 671, 52]-NRT-code), using algebraic-geometric NRT-code AG(2;F,686P) [i] based on function field F/F₈₁ with g(F) = 16 and N(F) ≥ 370, using
    - a function field by GarcÃa and Quoos [i]
  2. linear OOA(81⁵², 369, F₈₁, 2, 36) (dual of [(369, 2), 686, 37]-NRT-code), using algebraic-geometric NRT-code AG(2;F,701P) [i] based on function field F/F₈₁ with g(F) = 16 and N(F) ≥ 370 (see above)
  3. linear OOA(81¹⁴, 14, F₈₁, 2, 14) (dual of [(14, 2), 14, 15]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(81¹⁴, 81, F₈₁, 2, 14) (dual of [(81, 2), 148, 15]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(2;148,81) [i]

Mode: Constructive.

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.