MinT - Information on Result #2848733

Information on Result #2848733

Linear OOA(2²⁵⁷, 54, F₂, 5, 180) (dual of [(54, 5), 13, 181]-NRT-code), using strength reduction based on linear OOA(2²⁵⁷, 54, F₂, 5, 184) (dual of [(54, 5), 13, 185]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁵⁷, 14, F₂, 5, 46) (dual of [(14, 5), 13, 47]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,23P) [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(2¹⁸⁷, 40, F₂, 5, 137) (dual of [(40, 5), 13, 138]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2⁸⁷, 20, F₂, 5, 68) (dual of [(20, 5), 13, 69]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,31P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, 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.