MinT - Information on Result #1179000

Information on Result #1179000

Digital (10, 13, 95256)-net over F₄, using net defined by OOA based on linear OOA(4¹³, 95256, F₄, 3, 3) (dual of [(95256, 3), 285755, 4]-NRT-code), using

appending kth column [i] based on linear OOA(4¹³, 95256, F₄, 2, 3) (dual of [(95256, 2), 190499, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(4¹³, 95256, F₄, 3) (dual of [95256, 95243, 4]-code or 95256-cap in PG(12,4)), using
  - product of two projective caps and (hyper)oval [i] based on
    1. linear OA(4⁶, 126, F₄, 3) (dual of [126, 120, 4]-code or 126-cap in PG(5,4)), using
      - the Glynn cap [i]
    2. linear OA(4⁶, 126, F₄, 3) (dual of [126, 120, 4]-code or 126-cap in PG(5,4)) (see above)

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (23, 26, 10922)-net over F₂	[i]		Trace Code for Nets