MinT - Information on Result #2918781

Information on Result #2918781

Linear OOA(2¹⁹⁴, 32, F₂, 6, 174), using 19 step truncation based on linear OOA(2²¹³, 36, F₂, 6, 193) (dual of [(36, 6), 3, 194]-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(2¹⁹⁵, 33, F₂, 6, 177) (dual of [(33, 6), 3, 178]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2¹⁵, 3, F₂, 6, 15) (dual of [(3, 6), 3, 16]-NRT-code) (see above)
    2. linear OOA(2¹⁷⁷, 30, F₂, 6, 161) (dual of [(30, 6), 3, 162]-NRT-code), using
      - repeating each code word 6 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.