MinT - Information on Result #2794407

Information on Result #2794407

Linear OOA(2²⁰⁶, 75, F₂, 4, 74) (dual of [(75, 4), 94, 75]-NRT-code), using 2² times duplication based on linear OOA(2²⁰⁴, 75, F₂, 4, 74) (dual of [(75, 4), 96, 75]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁷⁶, 33, F₂, 4, 37) (dual of [(33, 4), 56, 38]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,94P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹²⁸, 42, F₂, 4, 74) (dual of [(42, 4), 40, 75]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,93P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, 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.