MinT - Information on Result #2645474

Information on Result #2645474

Linear OOA(8¹⁵³, 52, F₈, 3, 142) (dual of [(52, 3), 3, 143]-NRT-code), using strength reduction based on linear OOA(8¹⁵³, 52, F₈, 3, 144) (dual of [(52, 3), 3, 145]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(8³⁹, 14, F₈, 3, 38) (dual of [(14, 3), 3, 39]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,3P) [i] based on function field F/F₈ with g(F) = 1 and N(F) ≥ 14, using
    - F₂ from the tower of function fields over F₈ by van der Geer and van der Vlugt [i]
2. linear OOA(8¹¹¹, 38, F₈, 3, 105) (dual of [(38, 3), 3, 106]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(8³⁹, 14, F₈, 3, 38) (dual of [(14, 3), 3, 39]-NRT-code) (see above)
    2. linear OOA(8⁶⁹, 24, F₈, 3, 66) (dual of [(24, 3), 3, 67]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,5P) [i] based on function field F/F₈ with g(F) = 3 and N(F) ≥ 24, using
        the Klein quartic over F₈ [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.

Other Results with Identical Parameters

None.

Depending Results

None.