MinT - Information on Result #2764941

Information on Result #2764941

Linear OOA(2²⁰⁹, 55, F₂, 4, 137) (dual of [(55, 4), 11, 138]-NRT-code), using strength reduction based on linear OOA(2²⁰⁹, 55, F₂, 4, 138) (dual of [(55, 4), 11, 139]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁴⁹, 15, F₂, 4, 36) (dual of [(15, 4), 11, 37]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,23P) [i] based on function field F/F₂ with g(F) = 13 and N(F) ≥ 15, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁴⁹, 40, F₂, 4, 101) (dual of [(40, 4), 11, 102]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2⁶⁹, 20, F₂, 4, 50) (dual of [(20, 4), 11, 51]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,29P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, 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.