MinT - Information on Result #1105679

Information on Result #1105679

Linear OOA(3¹⁷⁰, 37, F₃, 5, 97) (dual of [(37, 5), 15, 98]-NRT-code), using OOA 5-folding based on linear OA(3¹⁷⁰, 185, F₃, 97) (dual of [185, 15, 98]-code), using

4 times truncation [i] based on linear OA(3¹⁷⁴, 189, F₃, 101) (dual of [189, 15, 102]-code), using
- concatenation of two codes [i] based on
  1. linear OA(27¹⁶, 21, F₂₇, 16) (dual of [21, 5, 17]-code or 21-arc in PG(15,27)), using
    - discarding factors / shortening the dual code based on linear OA(27¹⁶, 27, F₂₇, 16) (dual of [27, 11, 17]-code or 27-arc in PG(15,27)), using
      - Reedâ€“Solomon code RS(11,27) [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.