MinT - Information on Result #2845237

Information on Result #2845237

Linear OOA(2²¹⁷, 46, F₂, 5, 153) (dual of [(46, 5), 13, 154]-NRT-code), using strength reduction based on linear OOA(2²¹⁷, 46, F₂, 5, 155) (dual of [(46, 5), 13, 156]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁵², 13, F₂, 5, 41) (dual of [(13, 5), 13, 42]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(2⁵², 14, F₂, 5, 41) (dual of [(14, 5), 18, 42]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,28P) [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(2¹⁵², 33, F₂, 5, 113) (dual of [(33, 5), 13, 114]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,51P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, 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.