MinT - Information on Result #2462847

Information on Result #2462847

Linear OOA(3¹¹⁷, 61, F₃, 2, 83) (dual of [(61, 2), 5, 84]-NRT-code), using 5 step truncation based on linear OOA(3¹²², 64, F₃, 2, 88) (dual of [(64, 2), 6, 89]-NRT-code), using

strength reduction [i] based on linear OOA(3¹²², 64, F₃, 2, 90) (dual of [(64, 2), 6, 91]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(9¹³, 16, F₉, 12) (dual of [16, 3, 13]-code), using
    - extended algebraic-geometric code AG_e(F,3P) [i] based on function field F/F₉ with g(F) = 1 and N(F) ≥ 16, using
      - a function field by GarcÃa and Quoos [i]
  2. linear OOA(3⁶, 4, F₃, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;2,3) [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.