MinT - Information on Result #2858676

Information on Result #2858676

Linear OOA(3²⁴⁹, 51, F₃, 5, 214) (dual of [(51, 5), 6, 215]-NRT-code), using strength reduction based on linear OOA(3²⁴⁹, 51, F₃, 5, 216) (dual of [(51, 5), 6, 217]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁵⁴, 12, F₃, 5, 50) (dual of [(12, 5), 6, 51]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,9P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁸⁹, 39, F₃, 5, 165) (dual of [(39, 5), 6, 166]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(3⁴⁹, 11, F₃, 5, 45) (dual of [(11, 5), 6, 46]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(3⁴⁹, 12, F₃, 5, 45) (dual of [(12, 5), 11, 46]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(5;F,14P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12 (see above)
    2. linear OOA(3¹³⁴, 28, F₃, 5, 119) (dual of [(28, 5), 6, 120]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(5;F,20P) [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.