MinT - Information on Result #1185710

Information on Result #1185710

Digital (22, 27, 65281)-net over F₄, using net defined by OOA based on linear OOA(4²⁷, 65281, F₄, 5, 5) (dual of [(65281, 5), 326378, 6]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OA(4²⁷, 130563, F₄, 5) (dual of [130563, 130536, 6]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4²⁶, 130562, F₄, 5) (dual of [130562, 130536, 6]-code), using
  - trace code [i] based on linear OA(16¹³, 65281, F₁₆, 5) (dual of [65281, 65268, 6]-code), using
    - base reduction for projective spaces (embedding PG(6,256) in PG(12,16)) [i] based on linear OA(256⁷, 65281, F₂₅₆, 5) (dual of [65281, 65274, 6]-code), using
      - a code by Danev and Olsson [i]

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 (129, 139, 6776161)-net over F₄	[i]		(u,Â u+v)-Construction for Nets
2	Digital (140, 151, 6776161)-net over F₄	[i]		(u,Â u+v)-Construction for Nets