MinT - Information on Result #2443958

Information on Result #2443958

Linear OOA(4²¹⁹, 111, F₄, 2, 186) (dual of [(111, 2), 3, 187]-NRT-code), using strength reduction based on linear OOA(4²¹⁹, 111, F₄, 2, 187) (dual of [(111, 2), 3, 188]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4¹⁵, 9, F₄, 2, 14) (dual of [(9, 2), 3, 15]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,3P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
    - the Hermitian function field over F₄ [i]
2. linear OOA(4²⁰¹, 102, F₄, 2, 172) (dual of [(102, 2), 3, 173]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(4¹⁵, 9, F₄, 2, 14) (dual of [(9, 2), 3, 15]-NRT-code) (see above)
    2. linear OOA(4¹⁸³, 93, F₄, 2, 157) (dual of [(93, 2), 3, 158]-NRT-code), using
      - juxtaposition [i] based on
        linear OOA(4¹⁵, 9, F₄, 2, 14) (dual of [(9, 2), 3, 15]-NRT-code) (see above)
        linear OOA(4¹⁶⁵, 84, F₄, 2, 142) (dual of [(84, 2), 3, 143]-NRT-code), using
        1 step truncation [i] based on linear OOA(4¹⁶⁶, 85, F₄, 2, 143) (dual of [(85, 2), 4, 144]-NRT-code), using
        concatenation of two NRT-codes [i] based on
        linear OA(16¹⁵, 17, F₁₆, 15) (dual of [17, 2, 16]-code or 17-arc in PG(14,16)), using
        extended Reedâ€“Solomon code RS_e(2,16) [i]
        Simplex code S(2,16) [i]
        linear OOA(4⁸, 5, F₄, 2, 8) (dual of [(5, 2), 2, 9]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(2;2,4) [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.