MinT - Information on Result #2437507

Information on Result #2437507

Linear OOA(3²³⁹, 121, F₃, 2, 187) (dual of [(121, 2), 3, 188]-NRT-code), using strength reduction based on linear OOA(3²³⁹, 121, F₃, 2, 188) (dual of [(121, 2), 3, 189]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3³, 3, F₃, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(2;3,3) [i]
2. linear OOA(3²³³, 118, F₃, 2, 184) (dual of [(118, 2), 3, 185]-NRT-code), using
  - strength reduction [i] based on linear OOA(3²³³, 118, F₃, 2, 186) (dual of [(118, 2), 3, 187]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(3⁷⁵, 39, F₃, 2, 61) (dual of [(39, 2), 3, 62]-NRT-code), using
        1 step truncation [i] based on linear OOA(3⁷⁶, 40, F₃, 2, 62) (dual of [(40, 2), 4, 63]-NRT-code), using
        concatenation of two NRT-codes [i] based on
        linear OA(9⁸, 10, F₉, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,9)), using
        extended Reedâ€“Solomon code RS_e(2,9) [i]
        Simplex code S(2,9) [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]
      2. linear OOA(3¹⁵⁵, 79, F₃, 2, 124) (dual of [(79, 2), 3, 125]-NRT-code), using
        1 step truncation [i] based on linear OOA(3¹⁵⁶, 80, F₃, 2, 125) (dual of [(80, 2), 4, 126]-NRT-code), using
        concatenation of two NRT-codes [i] based on
        linear OA(9¹⁸, 20, F₉, 17) (dual of [20, 2, 18]-code), using
        repeating each code word 2 times [i] based on linear OA(9⁸, 10, F₉, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,9)) (see above)
        linear OOA(3⁶, 4, F₃, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code) (see above)

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.