MinT - Information on Result #842597

Information on Result #842597

Linear OOA(7⁵⁶, 30, F₇, 2, 48) (dual of [(30, 2), 4, 49]-NRT-code), using OOA 2-folding based on linear OA(7⁵⁶, 60, F₇, 48) (dual of [60, 4, 49]-code), using

constructionÂ X applied to C₁ âŠ‚ C₂ with C₁ a [50,1,49]-code [i] based on
1. linear OA(7⁴⁶, 50, F₇, 41) (dual of [50, 4, 42]-code), using projective code from ovoid in PG(3,Â 7) [i]
2. linear OA(7⁷, 10, F₇, 6) (dual of [10, 3, 7]-code), using
  - discarding factors / shortening the dual code based on linear OA(7⁷, 14, F₇, 6) (dual of [14, 7, 7]-code), using
    - codes constructed by inverting constructionÂ Y₁ [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(7⁵⁶, 30, F₇, 2, 47) (dual of [(30, 2), 4, 48]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(7⁵⁶, 30, F₇, 2, 46) (dual of [(30, 2), 4, 47]-NRT-code)	[i]		Strength Reduction for OOAs