MinT - Information on Result #2640922

Information on Result #2640922

Linear OOA(5¹²⁶, 43, F₅, 3, 109) (dual of [(43, 3), 3, 110]-NRT-code), using strength reduction based on linear OOA(5¹²⁶, 43, F₅, 3, 114) (dual of [(43, 3), 3, 115]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(5⁶, 3, F₅, 3, 6) (dual of [(3, 3), 3, 7]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(5⁶, 5, F₅, 3, 6) (dual of [(5, 3), 9, 7]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(3;9,5) [i]
2. linear OOA(5¹¹⁷, 40, F₅, 3, 107) (dual of [(40, 3), 3, 108]-NRT-code), using
  - repeating each code word 4 times [i] based on linear OOA(5²⁷, 10, F₅, 3, 26) (dual of [(10, 3), 3, 27]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;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.