MinT - Information on Result #3003185

Information on Result #3003185

Linear OOA(2²²⁷, 75, F₂, 8, 87) (dual of [(75, 8), 373, 88]-NRT-code), using 2⁴ times duplication based on linear OOA(2²²³, 75, F₂, 8, 87) (dual of [(75, 8), 377, 88]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁸², 33, F₂, 8, 43) (dual of [(33, 8), 182, 44]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,220P) [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(2¹⁴¹, 42, F₂, 8, 87) (dual of [(42, 8), 195, 88]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,248P) [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.