MinT - Information on Result #2774524

Information on Result #2774524

Linear OOA(3²⁰⁷, 59, F₃, 4, 138) (dual of [(59, 4), 29, 139]-NRT-code), using strength reduction based on linear OOA(3²⁰⁷, 59, F₃, 4, 139) (dual of [(59, 4), 29, 140]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁸⁷, 29, F₃, 4, 68) (dual of [(29, 4), 29, 69]-NRT-code), using
  - 1 times NRT-code embedding in larger space [i] based on linear OOA(3⁸³, 28, F₃, 4, 68) (dual of [(28, 4), 29, 69]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,43P) [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(3⁹¹, 30, F₃, 4, 70) (dual of [(30, 4), 29, 71]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁹¹, 32, F₃, 4, 70) (dual of [(32, 4), 37, 71]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,57P) [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.