MinT - Information on Result #842668

Information on Result #842668

Linear OOA(7⁶⁰, 32, F₇, 2, 50) (dual of [(32, 2), 4, 51]-NRT-code), using OOA 2-folding based on linear OA(7⁶⁰, 64, F₇, 50) (dual of [64, 4, 51]-code), using

juxtaposition [i] based on
1. linear OA(7¹⁰, 14, F₇, 8) (dual of [14, 4, 9]-code), using
  - discarding factors / shortening the dual code based on linear OA(7¹⁰, 20, F₇, 8) (dual of [20, 10, 9]-code), using
    - extended quadratic residue code Q_e(20,7) [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.

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(7⁶⁰, 32, F₇, 2, 49) (dual of [(32, 2), 4, 50]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(7⁶⁰, 32, F₇, 2, 48) (dual of [(32, 2), 4, 49]-NRT-code)	[i]		Strength Reduction for OOAs