MinT - Information on Result #2759673

Information on Result #2759673

Linear OOA(2¹¹², 31, F₂, 4, 74) (dual of [(31, 4), 12, 75]-NRT-code), using strength reduction based on linear OOA(2¹¹², 31, F₂, 4, 75) (dual of [(31, 4), 12, 76]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁴⁴, 14, F₂, 4, 33) (dual of [(14, 4), 12, 34]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,22P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁵⁶, 17, F₂, 4, 41) (dual of [(17, 4), 12, 42]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,26P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, 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.