MinT - Information on Result #842667

Information on Result #842667

Linear OOA(7⁵⁹, 31, F₇, 2, 50) (dual of [(31, 2), 3, 51]-NRT-code), using OOA 2-folding based on linear OA(7⁵⁹, 62, F₇, 50) (dual of [62, 3, 51]-code), using

discarding factors / shortening the dual code based on linear OA(7⁵⁹, 63, F₇, 50) (dual of [63, 4, 51]-code), using
- juxtaposition [i] based on
  1. linear OA(7⁹, 13, F₇, 8) (dual of [13, 4, 9]-code), using
    - extracting embedded orthogonal array [i] based on digital (1, 9, 13)-net over F₇, using
      - 4 times m-reduction [i] based on digital (1, 13, 13)-net over F₇, using
        a shift-net [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.

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

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(7⁵⁹, 31, F₇, 2, 49) (dual of [(31, 2), 3, 50]-NRT-code)	[i]		Strength Reduction for OOAs