MinT - Information on Result #1178995

Information on Result #1178995

Digital (5, 8, 756)-net over F₄, using net defined by OOA based on linear OOA(4⁸, 756, F₄, 3, 3) (dual of [(756, 3), 2260, 4]-NRT-code), using

appending kth column [i] based on linear OOA(4⁸, 756, F₄, 2, 3) (dual of [(756, 2), 1504, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(4⁸, 756, F₄, 3) (dual of [756, 748, 4]-code or 756-cap in PG(7,4)), using
  - product of projective cap with (hyper)oval [i] based on linear OA(4⁶, 126, F₄, 3) (dual of [126, 120, 4]-code or 126-cap in PG(5,4)), using
    - the Glynn cap [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Digital (13, 16, 342)-net over F₂	[i]		Trace Code for Nets
2	Digital (51, 57, 2796957)-net over F₄	[i]		(u,Â u+v)-Construction for Nets