MinT - Information on Result #2845403

Information on Result #2845403

Linear OOA(2²¹⁹, 46, F₂, 5, 159) (dual of [(46, 5), 11, 160]-NRT-code), using strength reduction based on linear OOA(2²¹⁹, 46, F₂, 5, 160) (dual of [(46, 5), 11, 161]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁴⁹, 12, F₂, 5, 40) (dual of [(12, 5), 11, 41]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,19P) [i] based on function field F/F₂ with g(F) = 9 and N(F) ≥ 12, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁵⁹, 34, F₂, 5, 119) (dual of [(34, 5), 11, 120]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2⁷⁴, 17, F₂, 5, 59) (dual of [(17, 5), 11, 60]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,25P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, 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.