MinT - Information on Result #2684690

Information on Result #2684690

Linear OOA(4⁵⁴, large, F₄, 3, 3), using 12 times NRT-code embedding in larger space based on linear OOA(4¹⁸, large, F₄, 3, 3), using

appending kth column [i] based on linear OOA(4¹⁸, large, F₄, 2, 3), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(4¹⁸, large, F₄, 3) (dual of [large, large−18, 4]-code), using
  - product of projective cap with (hyper)oval [i] based on linear OA(4¹⁶, 1850766, F₄, 3) (dual of [1850766, 1850750, 4]-code or 1850766-cap in PG(15,4)), using
    - product of projective cap with cap in AG(5,Â 4) [i] based on linear OA(4¹¹, 15423, F₄, 3) (dual of [15423, 15412, 4]-code or 15423-cap in PG(10,4)), using
      - caps completed using a computer search [i]

Mode: Constructive and linear.

Show details for fixed k and m, k and t, m and t.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(4⁵⁵, large, F₄, 3, 3)	[i]		OOA Duplication
2	Linear OOA(4⁵⁶, large, F₄, 3, 3)	[i]		OOA Duplication