MinT - Information on Result #2994559

Information on Result #2994559

Linear OOA(2²⁴², 30, F₂, 8, 225), using 3 step truncation based on linear OOA(2²⁴⁵, 31, F₂, 8, 228) (dual of [(31, 8), 3, 229]-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(2²²¹, 28, F₂, 8, 206) (dual of [(28, 8), 3, 207]-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(2¹⁹⁷, 25, F₂, 8, 184) (dual of [(25, 8), 3, 185]-NRT-code), using
      - repeating each code word 5 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.