MinT - Information on Result #2983212

Information on Result #2983212

Linear OOA(2¹³³, 17, F₂, 8, 123) (dual of [(17, 8), 3, 124]-NRT-code), using strength reduction based on linear OOA(2¹³³, 17, F₂, 8, 124) (dual of [(17, 8), 3, 125]-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(2¹⁰⁹, 14, F₂, 8, 102) (dual of [(14, 8), 3, 103]-NRT-code), using
  - 8 step truncation [i] based on linear OOA(2¹¹⁷, 15, F₂, 8, 110) (dual of [(15, 8), 3, 111]-NRT-code), using
    - repeating each code word 3 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, 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.