MinT - Information on Result #2916216

Information on Result #2916216

Linear OOA(2²⁵², 43, F₂, 6, 208) (dual of [(43, 6), 6, 209]-NRT-code), using strength reduction based on linear OOA(2²⁵², 43, F₂, 6, 209) (dual of [(43, 6), 6, 210]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³⁶, 7, F₂, 6, 33) (dual of [(7, 6), 6, 34]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;F,8P) [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(2²¹⁰, 36, F₂, 6, 175) (dual of [(36, 6), 6, 176]-NRT-code), using
  - repeating each code word 4 times [i] based on linear OOA(2⁴⁸, 9, F₂, 6, 43) (dual of [(9, 6), 6, 44]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(6;F,10P) [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.