MinT - Information on Result #2841971

Information on Result #2841971

Linear OOA(2¹⁶⁷, 35, F₂, 5, 126) (dual of [(35, 5), 8, 127]-NRT-code), using strength reduction based on linear OOA(2¹⁶⁷, 35, F₂, 5, 127) (dual of [(35, 5), 8, 128]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³², 8, F₂, 5, 28) (dual of [(8, 5), 8, 29]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;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(2¹²⁷, 27, F₂, 5, 98) (dual of [(27, 5), 8, 99]-NRT-code), using
  - repeating each code word 3 times [i] based on linear OOA(2³⁷, 9, F₂, 5, 32) (dual of [(9, 5), 8, 33]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,12P) [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.