MinT - Information on Result #2846136

Information on Result #2846136

Linear OOA(2²²⁸, 48, F₂, 5, 162) (dual of [(48, 5), 12, 163]-NRT-code), using strength reduction based on linear OOA(2²²⁸, 48, F₂, 5, 165) (dual of [(48, 5), 12, 166]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁵⁸, 14, F₂, 5, 47) (dual of [(14, 5), 12, 48]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,22P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁵⁸, 34, F₂, 5, 117) (dual of [(34, 5), 12, 118]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2⁷³, 17, F₂, 5, 58) (dual of [(17, 5), 12, 59]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,26P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.