MinT - Information on Result #1068432

Information on Result #1068432

Linear OOA(3²³¹, 59, F₃, 4, 174) (dual of [(59, 4), 5, 175]-NRT-code), using OOA 2-folding based on linear OOA(3²³¹, 118, F₃, 2, 174) (dual of [(118, 2), 5, 175]-NRT-code), using

strength reduction [i] based on linear OOA(3²³¹, 118, F₃, 2, 175) (dual of [(118, 2), 5, 176]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3⁹, 7, F₃, 2, 8) (dual of [(7, 2), 5, 9]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,5P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(3²¹⁷, 111, F₃, 2, 166) (dual of [(111, 2), 5, 167]-NRT-code), using
    - 1 step truncation [i] based on linear OOA(3²¹⁸, 112, F₃, 2, 167) (dual of [(112, 2), 6, 168]-NRT-code), using
      - concatenation of two NRT-codes [i] based on
        linear OA(9²⁵, 28, F₉, 23) (dual of [28, 3, 24]-code), using
        Hermitian unital [i]
        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.