MinT - Information on Result #2918994

Information on Result #2918994

Linear OOA(2²⁵⁴, 42, F₂, 6, 227), using 1 step truncation based on linear OOA(2²⁵⁵, 43, F₂, 6, 228) (dual of [(43, 6), 3, 229]-NRT-code), using

strength reduction [i] based on linear OOA(2²⁵⁵, 43, F₂, 6, 231) (dual of [(43, 6), 3, 232]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹⁵, 3, F₂, 6, 15) (dual of [(3, 6), 3, 16]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(6;3,2) [i]
  2. linear OOA(2²³⁷, 40, F₂, 6, 215) (dual of [(40, 6), 3, 216]-NRT-code), using
    - repeating each code word 8 times [i] based on linear OOA(2²⁷, 5, F₂, 6, 26) (dual of [(5, 6), 3, 27]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(6;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.