MinT - Information on Result #2913320

Information on Result #2913320

Linear OOA(2²¹⁶, 75, F₂, 6, 81) (dual of [(75, 6), 234, 82]-NRT-code), using strength reduction based on linear OOA(2²¹⁶, 75, F₂, 6, 82) (dual of [(75, 6), 234, 83]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁸⁰, 33, F₂, 6, 41) (dual of [(33, 6), 118, 42]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;F,156P) [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(2¹³⁶, 42, F₂, 6, 82) (dual of [(42, 6), 116, 83]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;F,169P) [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.