MinT - Information on Result #2928783

Information on Result #2928783

Linear OOA(2²²², 46, F₂, 6, 154) (dual of [(46, 6), 54, 155]-NRT-code), using 2¹ times duplication based on linear OOA(2²²¹, 46, F₂, 6, 154) (dual of [(46, 6), 55, 155]-NRT-code), using

strength reduction [i] based on linear OOA(2²²¹, 46, F₂, 6, 155) (dual of [(46, 6), 55, 156]-NRT-code), using
- constructionÂ X applied to AG(6;F,16P) âŠ‚ AG(6;F,18P) [i] based on
  1. linear OOA(2²⁰⁹, 42, F₂, 6, 155) (dual of [(42, 6), 43, 156]-NRT-code), using algebraic-geometric NRT-code AG(6;F,16P) with degPÂ =Â 6 [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
  2. linear OOA(2¹⁹⁷, 42, F₂, 6, 143) (dual of [(42, 6), 55, 144]-NRT-code), using algebraic-geometric NRT-code AG(6;F,18P) with degPÂ =Â 6 [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42 (see above)
  3. linear OOA(2¹², 4, F₂, 6, 11) (dual of [(4, 6), 12, 12]-NRT-code), using
    - OOA stacking with additional row [i] based on linear OOA(2¹², 5, F₂, 5, 11) (dual of [(5, 5), 13, 12]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(5;F,13P) [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.