MinT - Information on Result #2954250

Information on Result #2954250

Linear OOA(2²⁴⁰, 63, F₂, 7, 109) (dual of [(63, 7), 201, 110]-NRT-code), using strength reduction based on linear OOA(2²⁴⁰, 63, F₂, 7, 110) (dual of [(63, 7), 201, 111]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁷⁶, 21, F₂, 7, 55) (dual of [(21, 7), 71, 56]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,91P) [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(2¹⁶⁴, 42, F₂, 7, 110) (dual of [(42, 7), 130, 111]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,183P) [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.