MinT - Information on Result #641280

Information on Result #641280

Linear OA(7⁵⁹, 63, F₇, 48) (dual of [63, 4, 49]-code), using juxtaposition based on

linear OA(7³, 7, F₇, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,7) or 7-cap in PG(2,7)), using
- Reedâ€“Solomon code RS(4,7) [i]
linear OA(7⁵², 56, F₇, 44) (dual of [56, 4, 45]-code), using
- juxtaposition [i] based on
  1. linear OA(7², 6, F₇, 2) (dual of [6, 4, 3]-code or 6-arc in PG(1,7)), using
    - discarding factors / shortening the dual code based on linear OA(7², 7, F₇, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,7)), using
      - Reedâ€“Solomon code RS(5,7) [i]
  2. linear OA(7⁴⁶, 50, F₇, 41) (dual of [50, 4, 42]-code), using
    - projective code from ovoid in PG(3,Â 7) [i]

Mode: Constructive and linear.

None.

None.