MinT - Information on Result #2987906

Information on Result #2987906

Linear OOA(2²⁰¹, 26, F₂, 8, 170) (dual of [(26, 8), 7, 171]-NRT-code), using strength reduction based on linear OOA(2²⁰¹, 26, F₂, 8, 175) (dual of [(26, 8), 7, 176]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁵⁷, 8, F₂, 8, 53) (dual of [(8, 8), 7, 54]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,10P) [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(2¹³⁷, 18, F₂, 8, 121) (dual of [(18, 8), 7, 122]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2⁶⁵, 9, F₂, 8, 60) (dual of [(9, 8), 7, 61]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(8;F,11P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, 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.