MinT - Information on Result #2994823

Information on Result #2994823

Linear OOA(2²⁵⁷, 32, F₂, 8, 232), using 3 step truncation based on linear OOA(2²⁶⁰, 33, F₂, 8, 235) (dual of [(33, 8), 4, 236]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2²⁸, 4, F₂, 8, 27) (dual of [(4, 8), 4, 28]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(2²⁸, 5, F₂, 8, 27) (dual of [(5, 8), 12, 28]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(8;F,12P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(2²²⁸, 29, F₂, 8, 207) (dual of [(29, 8), 4, 208]-NRT-code), using
  - 8 step truncation [i] based on linear OOA(2²³⁶, 30, F₂, 8, 215) (dual of [(30, 8), 4, 216]-NRT-code), using
    - repeating each code word 6 times [i] based on linear OOA(2³⁶, 5, F₂, 8, 35) (dual of [(5, 8), 4, 36]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(8;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5 (see above)

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.