MinT - Information on Result #815552

Information on Result #815552

Linear OOA(3⁵⁰, 28, F₃, 2, 35) (dual of [(28, 2), 6, 36]-NRT-code), using OOA 2-folding based on linear OA(3⁵⁰, 56, F₃, 35) (dual of [56, 6, 36]-code), using

dual code (with bound on d by constructionÂ Y1) [i] based on
1. linear OA(3⁶, 56, F₃, 3) (dual of [56, 50, 4]-code or 56-cap in PG(5,3)), using
  - the Hill cap [i]
2. nonexistence of linear OA(3⁵, 21, F₃, 3) (dual of [21, 16, 4]-code or 21-cap in PG(4,3)), because
  - 20 is the largest size of a cap in PG(4,Â 3) [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(3¹⁴⁴, 84, F₃, 2, 71) (dual of [(84, 2), 24, 72]-NRT-code)	[i]		Generalized (u,Â u+v)-Construction for OOAs
2	Linear OOA(3¹²², 64, F₃, 2, 83) (dual of [(64, 2), 6, 84]-NRT-code)	[i]		Juxtaposition for OOAs
3	Linear OOA(3¹⁹⁴, 100, F₃, 2, 131) (dual of [(100, 2), 6, 132]-NRT-code)	[i]		Juxtaposition for OOAs