MinT - Information on Result #2447124

Information on Result #2447124

Linear OOA(5⁸³, 43, F₅, 2, 70) (dual of [(43, 2), 3, 71]-NRT-code), using strength reduction based on linear OOA(5⁸³, 43, F₅, 2, 71) (dual of [(43, 2), 3, 72]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(5³, 3, F₅, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(5³, 5, F₅, 2, 3) (dual of [(5, 2), 7, 4]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;7,5) [i]
2. linear OOA(5⁷⁷, 40, F₅, 2, 67) (dual of [(40, 2), 3, 68]-NRT-code), using
  - repeating each code word 4 times [i] based on linear OOA(5¹⁷, 10, F₅, 2, 16) (dual of [(10, 2), 3, 17]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,3P) [i] based on function field F/F₅ with g(F) = 1 and N(F) ≥ 10, 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.