MinT - Information on Result #2872493

Information on Result #2872493

Linear OOA(3¹⁷⁷, large, F₃, 5, 3), using 31 times NRT-code embedding in larger space based on linear OOA(3²², large, F₃, 5, 3), using

appending 2 arbitrary columns [i] based on linear OOA(3²², large, F₃, 3, 3), using
- appending kth column [i] based on linear OOA(3²², large, F₃, 2, 3), using
  - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(3²², large, F₃, 3) (dual of [large, large−22, 4]-code), using
    - doubling the cap [i] based on linear OA(3²¹, 7426048, F₃, 3) (dual of [7426048, 7426027, 4]-code or 7426048-cap in PG(20,3)), using
      - doubling the cap [i] based on linear OA(3²⁰, 3713024, F₃, 3) (dual of [3713024, 3713004, 4]-code or 3713024-cap in PG(19,3)), using
        large caps in PG(u,Â 3) [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and t, m 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(3¹⁷⁸, large, F₃, 5, 3)	[i]		OOA Duplication
2	Linear OOA(3¹⁷⁹, large, F₃, 5, 3)	[i]
3	Linear OOA(3¹⁸⁰, large, F₃, 5, 3)	[i]
4	Linear OOA(3¹⁸¹, large, F₃, 5, 3)	[i]