MinT - Information on Result #2759463

Information on Result #2759463

Linear OOA(2¹⁰⁷, 29, F₂, 4, 70) (dual of [(29, 4), 9, 71]-NRT-code), using strength reduction based on linear OOA(2¹⁰⁷, 29, F₂, 4, 75) (dual of [(29, 4), 9, 76]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2²⁷, 9, F₂, 4, 22) (dual of [(9, 4), 9, 23]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,13P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁷¹, 20, F₂, 4, 52) (dual of [(20, 4), 9, 53]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,27P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, 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.