MinT - Information on Result #2609704

Information on Result #2609704

Linear OOA(2³⁰, 11, F₂, 3, 23) (dual of [(11, 3), 3, 24]-NRT-code), using strength reduction based on linear OOA(2³⁰, 11, F₂, 3, 25) (dual of [(11, 3), 3, 26]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁶, 3, F₂, 3, 6) (dual of [(3, 3), 3, 7]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;3,2) [i]
2. linear OOA(2²¹, 8, F₂, 3, 18) (dual of [(8, 3), 3, 19]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2⁶, 3, F₂, 3, 6) (dual of [(3, 3), 3, 7]-NRT-code) (see above)
    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.