MinT - Information on Result #2418866

Information on Result #2418866

Linear OOA(2¹¹³, 61, F₂, 2, 62) (dual of [(61, 2), 9, 63]-NRT-code), using strength reduction based on linear OOA(2¹¹³, 61, F₂, 2, 64) (dual of [(61, 2), 9, 65]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2¹³, 11, F₂, 2, 8) (dual of [(11, 2), 9, 9]-NRT-code), using
  - extracting embedded OOA [i] based on digital (5, 13, 11)-net over F₂, using
    - linear code embedding found in a computer search [i]
2. linear OOA(2⁹¹, 50, F₂, 2, 55) (dual of [(50, 2), 9, 56]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OA(8⁷, 10, F₈, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,8)), using
      - Denniston code D(1,8) [i]
    2. linear OOA(2⁷, 5, F₂, 2, 6) (dual of [(5, 2), 3, 7]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;F,3P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, 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.