MinT - Information on Result #641276

Information on Result #641276

Linear OA(7⁵⁷, 61, F₇, 46) (dual of [61, 4, 47]-code), using juxtaposition based on

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]
linear OA(7⁵¹, 55, F₇, 43) (dual of [55, 4, 44]-code), using
- juxtaposition [i] based on
  1. linear OA(7¹, 5, F₇, 1) (dual of [5, 4, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(7¹, s, F₇, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
      - parity-check code [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.