MinT - Information on Result #2505987

Information on Result #2505987

Linear OOA(7⁶⁴, large, F₇, 2, 3), using 25 times NRT-code embedding in larger space based on linear OOA(7¹⁴, large, F₇, 2, 3), using

OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(7¹⁴, large, F₇, 3) (dual of [large, large−14, 4]-code), using
- doubling the cap [i] based on linear OA(7¹³, 6120101, F₇, 3) (dual of [6120101, 6120088, 4]-code or 6120101-cap in PG(12,7)), using
  - product of projective cap with cap in AG(6,Â 7) [i] based on linear OA(7⁷, 2499, F₇, 3) (dual of [2499, 2492, 4]-code or 2499-cap in PG(6,7)), 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(7⁶⁵, large, F₇, 2, 3)	[i]		OOA Duplication