MinT - Information on Result #2994856

Information on Result #2994856

Linear OOA(2²¹⁷, 27, F₂, 8, 191), using 1 step truncation based on linear OOA(2²¹⁸, 28, F₂, 8, 192) (dual of [(28, 8), 6, 193]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁵⁸, 8, F₂, 8, 54) (dual of [(8, 8), 6, 55]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,9P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁵⁴, 20, F₂, 8, 137) (dual of [(20, 8), 6, 138]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2⁷⁴, 10, F₂, 8, 68) (dual of [(10, 8), 6, 69]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(8;F,11P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, 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.