MinT - Information on Result #2991587

Information on Result #2991587

Linear OOA(2²⁴³, 63, F₂, 8, 111) (dual of [(63, 8), 261, 112]-NRT-code), using strength reduction based on linear OOA(2²⁴³, 63, F₂, 8, 112) (dual of [(63, 8), 261, 113]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁷⁷, 21, F₂, 8, 56) (dual of [(21, 8), 91, 57]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,111P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁶⁶, 42, F₂, 8, 112) (dual of [(42, 8), 170, 113]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,223P) [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.