MinT - Information on Result #2447077

Information on Result #2447077

Linear OOA(5⁸⁰, 42, F₅, 2, 65) (dual of [(42, 2), 4, 66]-NRT-code), using strength reduction based on linear OOA(5⁸⁰, 42, F₅, 2, 66) (dual of [(42, 2), 4, 67]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(5⁸, 6, F₅, 2, 8) (dual of [(6, 2), 4, 9]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;4,5) [i]
2. linear OOA(5⁶⁸, 36, F₅, 2, 57) (dual of [(36, 2), 4, 58]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(5³², 18, F₅, 2, 28) (dual of [(18, 2), 4, 29]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₅ with g(F) = 4 and N(F) ≥ 18, 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.