MinT - Information on Result #1185708

Information on Result #1185708

Digital (21, 26, 65280)-net over F₄, using net defined by OOA based on linear OOA(4²⁶, 65280, F₄, 5, 5) (dual of [(65280, 5), 326374, 6]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OA(4²⁶, 130561, F₄, 5) (dual of [130561, 130535, 6]-code), using
- discarding factors / shortening the dual code 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 (128, 138, 6776160)-net over F₄	[i]		(u,Â u+v)-Construction for Nets
2	Digital (139, 150, 6776160)-net over F₄	[i]		(u,Â u+v)-Construction for Nets