MinT - Information on Result #1063756

Information on Result #1063756

Linear OOA(3⁶⁸, 18, F₃, 4, 54) (dual of [(18, 4), 4, 55]-NRT-code), using OOA 2-folding based on linear OOA(3⁶⁸, 36, F₃, 2, 54) (dual of [(36, 2), 4, 55]-NRT-code), using

strength reduction [i] based on linear OOA(3⁶⁸, 36, F₃, 2, 55) (dual of [(36, 2), 4, 56]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(9⁷, 9, F₉, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,9)), using
    - Reedâ€“Solomon code RS(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.

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.