MinT - Information on Result #941733

Information on Result #941733

Linear OOA(3²⁴⁶, 125, F₃, 2, 194) (dual of [(125, 2), 4, 195]-NRT-code), using juxtaposition based on

linear OOA(3⁶, 5, F₃, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁶, 6, F₃, 2, 5) (dual of [(6, 2), 6, 6]-NRT-code), using
  - OOA 2-folding [i] based on linear OA(3⁶, 12, F₃, 5) (dual of [12, 6, 6]-code), using
    - extended Golay code G_e(3) [i]
linear OOA(3²³⁶, 120, F₃, 2, 188) (dual of [(120, 2), 4, 189]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(9²⁸, 30, F₉, 26) (dual of [30, 2, 27]-code), using
    - repeating each code word 3 times [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]
  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.

None.

The following results depend on this result: