MinT - Information on Result #2764450

Information on Result #2764450

Linear OOA(2²⁰², 53, F₂, 4, 132) (dual of [(53, 4), 10, 133]-NRT-code), using strength reduction based on linear OOA(2²⁰², 53, F₂, 4, 134) (dual of [(53, 4), 10, 135]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³⁴, 11, F₂, 4, 26) (dual of [(11, 4), 10, 27]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,17P) [i] based on function field F/F₂ with g(F) = 8 and N(F) ≥ 11, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁵⁸, 42, F₂, 4, 107) (dual of [(42, 4), 10, 108]-NRT-code), using
  - repeating each code word 3 times [i] based on linear OOA(2⁴⁶, 14, F₂, 4, 35) (dual of [(14, 4), 10, 36]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,20P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, 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.