MinT - Information on Result #1178956

Information on Result #1178956

Digital (21, 26, 6480)-net over F₃, using net defined by OOA based on linear OOA(3²⁶, 6480, F₃, 5, 5) (dual of [(6480, 5), 32374, 6]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OA(3²⁶, 12961, F₃, 5) (dual of [12961, 12935, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(3²⁶, 12962, F₃, 5) (dual of [12962, 12936, 6]-code), using
  - trace code [i] based on linear OA(9¹³, 6481, F₉, 5) (dual of [6481, 6468, 6]-code), using
    - base reduction for projective spaces (embedding PG(6,81) in PG(12,9)) [i] based on linear OA(81⁷, 6481, F₈₁, 5) (dual of [6481, 6474, 6]-code), using
      - a code by Danev and Olsson [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Digital (164, 174, 6717360)-net over F₃	[i]		(u,Â u+v)-Construction for Nets
2	Digital (179, 190, 6717360)-net over F₃	[i]		(u,Â u+v)-Construction for Nets