MinT - Information on Result #1080624

Information on Result #1080624

Linear OOA(2²⁴⁶, 73, F₂, 4, 103) (dual of [(73, 4), 46, 104]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁹⁰, 33, F₂, 4, 51) (dual of [(33, 4), 42, 52]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,80P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁵⁶, 40, F₂, 4, 103) (dual of [(40, 4), 4, 104]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2¹⁵⁶, 80, F₂, 2, 103) (dual of [(80, 2), 4, 104]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OA(4⁸, 10, F₄, 7) (dual of [10, 2, 8]-code), using
      - repeating each code word 2 times [i] based on linear OA(4³, 5, F₄, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
        extended Reedâ€“Solomon code RS_e(2,4) [i]
        Simplex code S(2,4) [i]
    2. linear OOA(2¹⁴, 8, F₂, 2, 12) (dual of [(8, 2), 2, 13]-NRT-code), using
      - 2 step truncation [i] based on linear OOA(2¹⁶, 9, F₂, 2, 14) (dual of [(9, 2), 2, 15]-NRT-code), using
        repeating each code word 3 times [i] based on linear OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(2;2,2) [i]

Mode: Constructive and linear.

None.

None.