MinT - Information on Result #2437518

Information on Result #2437518

Linear OOA(3²³⁹, 122, F₃, 2, 175) (dual of [(122, 2), 5, 176]-NRT-code), using strength reduction based on linear OOA(3²³⁹, 122, F₃, 2, 180) (dual of [(122, 2), 5, 181]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3¹⁵, 10, F₃, 2, 12) (dual of [(10, 2), 5, 13]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3²¹⁹, 112, F₃, 2, 167) (dual of [(112, 2), 5, 168]-NRT-code), using
  - 3¹ times duplication [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.