MinT - Information on Result #2951314

Information on Result #2951314

Linear OOA(2²⁰⁶, 31, F₂, 7, 168) (dual of [(31, 7), 11, 169]-NRT-code), using strength reduction based on linear OOA(2²⁰⁶, 31, F₂, 7, 169) (dual of [(31, 7), 11, 170]-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(2¹²⁹, 20, F₂, 7, 110) (dual of [(20, 7), 11, 111]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,29P) [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.