MinT - Information on Result #2947298

Information on Result #2947298

Linear OOA(2¹⁵⁰, 23, F₂, 7, 121) (dual of [(23, 7), 11, 122]-NRT-code), using strength reduction based on linear OOA(2¹⁵⁰, 23, F₂, 7, 123) (dual of [(23, 7), 11, 124]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁶⁶, 11, F₂, 7, 58) (dual of [(11, 7), 11, 59]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,18P) [i] based on function field F/F₂ with g(F) = 8 and N(F) ≥ 11, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁷³, 12, F₂, 7, 64) (dual of [(12, 7), 11, 65]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,19P) [i] based on function field F/F₂ with g(F) = 9 and N(F) ≥ 12, 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.