MinT - Information on Result #2966621

Information on Result #2966621

Linear OOA(2²²¹, 63, F₂, 7, 96) (dual of [(63, 7), 220, 97]-NRT-code), using 2² times duplication based on linear OOA(2²¹⁹, 63, F₂, 7, 96) (dual of [(63, 7), 222, 97]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁶⁹, 21, F₂, 7, 48) (dual of [(21, 7), 78, 49]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,98P) [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(2¹⁵⁰, 42, F₂, 7, 96) (dual of [(42, 7), 144, 97]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,197P) [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.