MinT - Information on Result #2765410

Information on Result #2765410

Linear OOA(2²¹⁶, 57, F₂, 4, 138) (dual of [(57, 4), 12, 139]-NRT-code), using strength reduction based on linear OOA(2²¹⁶, 57, F₂, 4, 139) (dual of [(57, 4), 12, 140]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁴⁸, 15, F₂, 4, 35) (dual of [(15, 4), 12, 36]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,24P) [i] based on function field F/F₂ with g(F) = 13 and N(F) ≥ 15, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁵⁶, 42, F₂, 4, 103) (dual of [(42, 4), 12, 104]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2⁷², 21, F₂, 4, 51) (dual of [(21, 4), 12, 52]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,32P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21, 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.