MinT - Information on Result #2774506

Information on Result #2774506

Linear OOA(3²⁰⁷, 53, F₃, 4, 171) (dual of [(53, 4), 5, 172]-NRT-code), using strength reduction based on linear OOA(3²⁰⁷, 53, F₃, 4, 174) (dual of [(53, 4), 5, 175]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3¹⁵, 5, F₃, 4, 14) (dual of [(5, 4), 5, 15]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3¹⁵, 7, F₃, 4, 14) (dual of [(7, 4), 13, 15]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,13P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁸⁷, 48, F₃, 4, 159) (dual of [(48, 4), 5, 160]-NRT-code), using
  - repeating each code word 4 times [i] based on linear OOA(3⁴³, 12, F₃, 4, 39) (dual of [(12, 4), 5, 40]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,8P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, 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.