MinT - Information on Result #2913549

Information on Result #2913549

Linear OOA(2²²⁰, 38, F₂, 6, 170) (dual of [(38, 6), 8, 171]-NRT-code), using strength reduction based on linear OOA(2²²⁰, 38, F₂, 6, 177) (dual of [(38, 6), 8, 178]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁴⁰, 8, F₂, 6, 36) (dual of [(8, 6), 8, 37]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;F,11P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁷², 30, F₂, 6, 140) (dual of [(30, 6), 8, 141]-NRT-code), using
  - repeating each code word 3 times [i] based on linear OOA(2⁵², 10, F₂, 6, 46) (dual of [(10, 6), 8, 47]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(6;F,13P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, 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.