MinT - Information on Result #2518364

Information on Result #2518364

Linear OOA(27³⁵, large, F₂₇, 2, 3), using 13 times NRT-code embedding in larger space based on linear OOA(27⁹, large, F₂₇, 2, 3), using

OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(27⁹, large, F₂₇, 3) (dual of [large, large−9, 4]-code), using
- product of projective cap with (hyper)oval [i] based on linear OA(27⁷, 532899, F₂₇, 3) (dual of [532899, 532892, 4]-code or 532899-cap in PG(6,27)), using
  - product of two caps with tangent hyperplane [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(27³⁶, large, F₂₇, 2, 3)	[i]		OOA Duplication