MinT - Information on Result #2663868

Information on Result #2663868

Linear OOA(5¹¹¹, 38, F₅, 3, 100) (dual of [(38, 3), 3, 101]-NRT-code), using 12 step truncation based on linear OOA(5¹²³, 42, F₅, 3, 112) (dual of [(42, 3), 3, 113]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(5¹⁵, 6, F₅, 3, 15) (dual of [(6, 3), 3, 16]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;3,5) [i]
2. linear OOA(5¹⁰⁵, 36, F₅, 3, 96) (dual of [(36, 3), 3, 97]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(5¹⁵, 6, F₅, 3, 15) (dual of [(6, 3), 3, 16]-NRT-code) (see above)
    2. linear OOA(5⁸⁷, 30, F₅, 3, 80) (dual of [(30, 3), 3, 81]-NRT-code), using
      - repeating each code word 3 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.