MinT - Information on Result #2227251

Information on Result #2227251

Linear OA(3⁴⁷, 53, F₃, 32) (dual of [53, 6, 33]-code), using 3 times truncation 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.

None.

The following results depend on this result:

	Result		Method
1	Linear OA(3⁵¹, 57, F₃, 32) (dual of [57, 6, 33]-code)	[i]	Code Embedding in Larger Space
2	Linear OOA(3⁴⁷, 26, F₃, 2, 32) (dual of [(26, 2), 5, 33]-NRT-code)	[i]	OOA Folding
3	Linear OOA(3⁴⁷, 17, F₃, 3, 32) (dual of [(17, 3), 4, 33]-NRT-code)	[i]	OOA Folding