MinT - Information on Result #1183018

Information on Result #1183018

Digital (10, 19, 25)-net over F₃, using net defined by OOA based on linear OOA(3¹⁹, 25, F₃, 12, 9) (dual of [(25, 12), 281, 10]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(3¹⁹, 26, F₃, 4, 9) (dual of [(26, 4), 85, 10]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3⁶, 14, F₃, 4, 4) (dual of [(14, 4), 50, 5]-NRT-code), using
    - appending kth column [i] based on linear OOA(3⁶, 14, F₃, 3, 4) (dual of [(14, 3), 36, 5]-NRT-code), using
      - extracting embedded OOA [i] based on digital (2, 6, 14)-net over F₃, using
        linear code embedding found in a computer search [i]
  2. linear OOA(3¹³, 13, F₃, 4, 9) (dual of [(13, 4), 39, 10]-NRT-code), using
    - extracting embedded OOA [i] based on digital (4, 13, 13)-net over F₃, using
      - a shift-net [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	Linear OOA(3¹⁹, 23, F₃, 2, 9) (dual of [(23, 2), 27, 10]-NRT-code)	[i]		Extracting Embedded OOA
2	Linear OOA(3¹⁹, 23, F₃, 3, 9) (dual of [(23, 3), 50, 10]-NRT-code)	[i]
3	Linear OOA(3¹⁹, 23, F₃, 4, 9) (dual of [(23, 4), 73, 10]-NRT-code)	[i]