MinT - Information on Result #2912723

Information on Result #2912723

Linear OOA(2²⁰⁹, 37, F₂, 6, 158) (dual of [(37, 6), 13, 159]-NRT-code), using strength reduction based on linear OOA(2²⁰⁹, 37, F₂, 6, 163) (dual of [(37, 6), 13, 164]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁸⁹, 17, F₂, 6, 74) (dual of [(17, 6), 13, 75]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;F,27P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁰⁷, 20, F₂, 6, 88) (dual of [(20, 6), 13, 89]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;F,31P) [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.