MinT - Information on Result #819093

Information on Result #819093

Linear OOA(3¹³³, 77, F₃, 2, 65) (dual of [(77, 2), 21, 66]-NRT-code), using OOA 2-folding based on linear OA(3¹³³, 154, F₃, 65) (dual of [154, 21, 66]-code), using

1 times code embedding in larger space [i] based on linear OA(3¹³², 153, F₃, 65) (dual of [153, 21, 66]-code), using
- concatenation of two codes [i] based on
  1. linear OA(27¹⁰, 17, F₂₇, 10) (dual of [17, 7, 11]-code or 17-arc in PG(9,27)), using
    - discarding factors / shortening the dual code based on linear OA(27¹⁰, 27, F₂₇, 10) (dual of [27, 17, 11]-code or 27-arc in PG(9,27)), using
      - Reedâ€“Solomon code RS(17,27) [i]
  2. linear OA(3⁶, 9, F₃, 5) (dual of [9, 3, 6]-code), using
    - discarding factors / shortening the dual code based on linear OA(3⁶, 10, F₃, 5) (dual of [10, 4, 6]-code), using
      - projective code from ovoid in PG(3,Â 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.