MinT - Information on Result #2993369

Information on Result #2993369

Linear OOA(2⁵⁷, 7, F₂, 8, 54), using 4 step truncation based on linear OOA(2⁶¹, 8, F₂, 8, 58) (dual of [(8, 8), 3, 59]-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(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.