MinT - Information on Result #1135739

Information on Result #1135739

Linear OOA(2¹¹⁴, 20, F₂, 6, 79) (dual of [(20, 6), 6, 80]-NRT-code), using OOA 2-folding based on linear OOA(2¹¹⁴, 40, F₂, 3, 79) (dual of [(40, 3), 6, 80]-NRT-code), using

strength reduction [i] based on linear OOA(2¹¹⁴, 40, F₂, 3, 83) (dual of [(40, 3), 6, 84]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(8⁶, 8, F₈, 6) (dual of [8, 2, 7]-code or 8-arc in PG(5,8)), using
    - Reedâ€“Solomon code RS(2,8) [i]
  2. linear OOA(2¹², 5, F₂, 3, 11) (dual of [(5, 3), 3, 12]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;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.