MinT - Information on Result #1179615

Information on Result #1179615

Linear OOA(27⁸, 1245133, F₂₇, 3, 3) (dual of [(1245133, 3), 3735391, 4]-NRT-code), using appending kth column based on linear OOA(27⁸, 1245133, F₂₇, 2, 3) (dual of [(1245133, 2), 2490258, 4]-NRT-code), using

OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(27⁸, 1245133, F₂₇, 3) (dual of [1245133, 1245125, 4]-code or 1245133-cap in PG(7,27)), using
- product of projective cap with 27²-ovoid cap in AG(3,Â 27) [i] based on linear OA(27⁵, 1708, F₂₇, 3) (dual of [1708, 1703, 4]-code or 1708-cap in PG(4,27)), using
  - large caps in PG(4,Â b) [i]

Mode: Constructive and linear.

Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (5, 8, 1245133)-net over F₂₇	[i]		Net Defined by OOA