MinT - Information on Result #2447109

Information on Result #2447109

Linear OOA(5⁸², 43, F₅, 2, 67) (dual of [(43, 2), 4, 68]-NRT-code), using strength reduction based on linear OOA(5⁸², 43, F₅, 2, 68) (dual of [(43, 2), 4, 69]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(5¹⁸, 11, F₅, 2, 16) (dual of [(11, 2), 4, 17]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(5¹⁸, 12, F₅, 2, 16) (dual of [(12, 2), 6, 17]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₅ with g(F) = 2 and N(F) ≥ 12, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(5⁶⁰, 32, F₅, 2, 51) (dual of [(32, 2), 4, 52]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(5²⁸, 16, F₅, 2, 25) (dual of [(16, 2), 4, 26]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,6P) [i] based on function field F/F₅ with g(F) = 3 and N(F) ≥ 16, 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.