MinT - Information on Result #2764544

Information on Result #2764544

Linear OOA(2²⁰³, 54, F₂, 4, 126) (dual of [(54, 4), 13, 127]-NRT-code), using strength reduction based on linear OOA(2²⁰³, 54, F₂, 4, 130) (dual of [(54, 4), 13, 131]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁴³, 14, F₂, 4, 32) (dual of [(14, 4), 13, 33]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,23P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁴⁷, 40, F₂, 4, 97) (dual of [(40, 4), 13, 98]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2⁶⁷, 20, F₂, 4, 48) (dual of [(20, 4), 13, 49]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,31P) [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.