MinT - Information on Result #1193002

Information on Result #1193002

Digital (13, 18, 7300)-net over F₉, using net defined by OOA based on linear OOA(9¹⁸, 7300, F₉, 6, 5) (dual of [(7300, 6), 43782, 6]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(9¹⁸, 7301, F₉, 2, 5) (dual of [(7301, 2), 14584, 6]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(9⁴, 820, F₉, 2, 2) (dual of [(820, 2), 1636, 3]-NRT-code), using
    - appending kth column [i] based on linear OA(9⁴, 820, F₉, 2) (dual of [820, 816, 3]-code), using
      - Hamming code H(4,9) [i]
  2. linear OOA(9¹⁴, 6481, F₉, 2, 5) (dual of [(6481, 2), 12948, 6]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(9¹⁴, 12962, F₉, 5) (dual of [12962, 12948, 6]-code), using
      - trace code [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.

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 (82, 92, 3362740)-net over F₉	[i]		(u,Â u+v)-Construction for Nets
2	Digital (89, 100, 3362740)-net over F₉	[i]		(u,Â u+v)-Construction for Nets