MinT - Information on Result #2986040

Information on Result #2986040

Linear OOA(2¹⁷⁷, 23, F₂, 8, 147) (dual of [(23, 8), 7, 148]-NRT-code), using strength reduction based on linear OOA(2¹⁷⁷, 23, F₂, 8, 154) (dual of [(23, 8), 7, 155]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁴⁹, 7, F₂, 8, 46) (dual of [(7, 8), 7, 47]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,9P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹²¹, 16, F₂, 8, 107) (dual of [(16, 8), 7, 108]-NRT-code), using
  - repeating each code word 2 times [i] based on 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]

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.