MinT - Information on Result #2765656

Information on Result #2765656

Linear OOA(2²²⁰, 58, F₂, 4, 140) (dual of [(58, 4), 12, 141]-NRT-code), using strength reduction based on linear OOA(2²²⁰, 58, F₂, 4, 143) (dual of [(58, 4), 12, 144]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁶⁸, 20, F₂, 4, 49) (dual of [(20, 4), 12, 50]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,30P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁴⁰, 38, F₂, 4, 93) (dual of [(38, 4), 12, 94]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2⁵⁶, 17, F₂, 4, 41) (dual of [(17, 4), 12, 42]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,26P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
        an explicitly constructive algebraic function field [i]
    2. linear OOA(2⁷², 21, F₂, 4, 51) (dual of [(21, 4), 12, 52]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,32P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21, 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.