MinT - Information on Result #1178997

Information on Result #1178997

Digital (7, 10, 5040)-net over F₄, using net defined by OOA based on linear OOA(4¹⁰, 5040, F₄, 3, 3) (dual of [(5040, 3), 15110, 4]-NRT-code), using

appending kth column [i] based on linear OOA(4¹⁰, 5040, F₄, 2, 3) (dual of [(5040, 2), 10070, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(4¹⁰, 5040, F₄, 3) (dual of [5040, 5030, 4]-code or 5040-cap in PG(9,4)), using
  - product of projective cap with cap in AG(4,Â 4) [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 (17, 20, 1366)-net over F₂	[i]		Trace Code for Nets
2	Digital (53, 59, 2801241)-net over F₄	[i]		(u,Â u+v)-Construction for Nets