MinT - Information on Result #2629012

Information on Result #2629012

Linear OOA(3²⁴⁸, 88, F₃, 3, 164) (dual of [(88, 3), 16, 165]-NRT-code), using strength reduction based on linear OOA(3²⁴⁸, 88, F₃, 3, 167) (dual of [(88, 3), 16, 168]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁶⁸, 28, F₃, 3, 53) (dual of [(28, 3), 16, 54]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,30P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁶⁴, 60, F₃, 3, 113) (dual of [(60, 3), 16, 114]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(3⁶⁸, 28, F₃, 3, 53) (dual of [(28, 3), 16, 54]-NRT-code) (see above)
    2. linear OOA(3⁸⁰, 32, F₃, 3, 59) (dual of [(32, 3), 16, 60]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,36P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32, 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.