MinT - Information on Result #827693

Information on Result #827693

Linear OOA(4⁸⁷, 51, F₄, 2, 51) (dual of [(51, 2), 15, 52]-NRT-code), using OOA 2-folding based on linear OA(4⁸⁷, 102, F₄, 51) (dual of [102, 15, 52]-code), using

concatenation of two codes [i] based on
1. linear OA(64¹², 17, F₆₄, 12) (dual of [17, 5, 13]-code or 17-arc in PG(11,64)), using
  - discarding factors / shortening the dual code based on linear OA(64¹², 64, F₆₄, 12) (dual of [64, 52, 13]-code or 64-arc in PG(11,64)), using
    - Reedâ€“Solomon code RS(52,64) [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.