MinT - Information on Result #2622942

Information on Result #2622942

Linear OOA(3¹⁴³, 51, F₃, 3, 105) (dual of [(51, 3), 10, 106]-NRT-code), using strength reduction based on linear OOA(3¹⁴³, 51, F₃, 3, 106) (dual of [(51, 3), 10, 107]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁵⁹, 23, F₃, 3, 46) (dual of [(23, 3), 10, 47]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁵⁹, 24, F₃, 3, 46) (dual of [(24, 3), 13, 47]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,25P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
      - a function field by SÃ©mirat [i]
2. linear OOA(3⁷⁴, 28, F₃, 3, 59) (dual of [(28, 3), 10, 60]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,24P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [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.