MinT - Information on Result #2993919

Information on Result #2993919

Linear OOA(2¹²³, 15, F₂, 8, 115), using 2 step truncation based on linear OOA(2¹²⁵, 16, F₂, 8, 117) (dual of [(16, 8), 3, 118]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2²¹, 3, F₂, 8, 21) (dual of [(3, 8), 3, 22]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(8;3,2) [i]
2. linear OOA(2¹⁰¹, 13, F₂, 8, 95) (dual of [(13, 8), 3, 96]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2²¹, 3, F₂, 8, 21) (dual of [(3, 8), 3, 22]-NRT-code) (see above)
    2. linear OOA(2⁷⁷, 10, F₂, 8, 73) (dual of [(10, 8), 3, 74]-NRT-code), using
      - repeating each code word 2 times [i] based on linear OOA(2³⁷, 5, F₂, 8, 36) (dual of [(5, 8), 3, 37]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(8;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, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

None.