MinT - Information on Result #829511

Information on Result #829511

Linear OOA(4¹³⁰, 83, F₄, 2, 65) (dual of [(83, 2), 36, 66]-NRT-code), using OOA 2-folding based on linear OA(4¹³⁰, 166, F₄, 65) (dual of [166, 36, 66]-code), using

2 times truncation [i] based on linear OA(4¹³², 168, F₄, 67) (dual of [168, 36, 68]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64¹⁶, 28, F₆₄, 16) (dual of [28, 12, 17]-code or 28-arc in PG(15,64)), using
    - discarding factors / shortening the dual code based on linear OA(64¹⁶, 64, F₆₄, 16) (dual of [64, 48, 17]-code or 64-arc in PG(15,64)), using
      - Reedâ€“Solomon code RS(48,64) [i]
  2. linear OA(4³, 6, F₄, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
    - hyperoval in PG(2,Â 4) [i]
    - the Hexacode [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.