MinT - Information on Result #2437658

Information on Result #2437658

Linear OOA(3²⁴¹, 123, F₃, 2, 179) (dual of [(123, 2), 5, 180]-NRT-code), using strength reduction based on linear OOA(3²⁴¹, 123, F₃, 2, 182) (dual of [(123, 2), 5, 183]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3¹⁹, 12, F₃, 2, 15) (dual of [(12, 2), 5, 16]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,8P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, 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
      1. linear OA(9²⁵, 28, F₉, 23) (dual of [28, 3, 24]-code), using
        Hermitian unital [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.