MinT - Information on Result #2645122

Information on Result #2645122

Linear OOA(8¹⁴³, 49, F₈, 3, 132) (dual of [(49, 3), 4, 133]-NRT-code), using strength reduction based on linear OOA(8¹⁴³, 49, F₈, 3, 133) (dual of [(49, 3), 4, 134]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(8⁶⁸, 24, F₈, 3, 65) (dual of [(24, 3), 4, 66]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,6P) [i] based on function field F/F₈ with g(F) = 3 and N(F) ≥ 24, using
    - the Klein quartic over F₈ [i]
2. linear OOA(8⁷¹, 25, F₈, 3, 67) (dual of [(25, 3), 4, 68]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₈ with g(F) = 4 and N(F) ≥ 25, using
    - a function field by SÃ©mirat [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.