MinT - Information on Result #2954503

Information on Result #2954503

Linear OOA(2²⁴³, 75, F₂, 7, 98) (dual of [(75, 7), 282, 99]-NRT-code), using strength reduction based on linear OOA(2²⁴³, 75, F₂, 7, 100) (dual of [(75, 7), 282, 101]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁸⁹, 33, F₂, 7, 50) (dual of [(33, 7), 142, 51]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,180P) [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(2¹⁵⁴, 42, F₂, 7, 100) (dual of [(42, 7), 140, 101]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,193P) [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.