MinT - Information on Result #2694174

Information on Result #2694174

Linear OOA(5⁵⁸, large, F₅, 3, 3), using 14 times NRT-code embedding in larger space based on linear OOA(5¹⁶, large, F₅, 3, 3), using

appending kth column [i] based on linear OOA(5¹⁶, large, F₅, 2, 3), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(5¹⁶, large, F₅, 3) (dual of [large, large−16, 4]-code), using
  - product of projective cap with 5²-ovoid cap in AG(3,Â 5) [i] based on linear OA(5¹³, 438101, F₅, 3) (dual of [438101, 438088, 4]-code or 438101-cap in PG(12,5)), using
    - product of projective cap with cap in AG(6,Â 5) [i] based on linear OA(5⁷, 675, F₅, 3) (dual of [675, 668, 4]-code or 675-cap in PG(6,5)), 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(5⁵⁹, large, F₅, 3, 3)	[i]		OOA Duplication
2	Linear OOA(5⁶⁰, large, F₅, 3, 3)	[i]		OOA Duplication