MinT - Information on Result #1189744

Information on Result #1189744

Digital (4, 11, 20)-net over F₇, using net defined by OOA based on linear OOA(7¹¹, 20, F₇, 9, 7) (dual of [(20, 9), 169, 8]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(7¹¹, 21, F₇, 3, 7) (dual of [(21, 3), 52, 8]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(7³, 8, F₇, 3, 3) (dual of [(8, 3), 21, 4]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(3;21,7) [i]
  2. linear OOA(7⁸, 13, F₇, 3, 7) (dual of [(13, 3), 31, 8]-NRT-code), using
    - extracting embedded OOA [i] based on digital (1, 8, 13)-net over F₇, using
      - 5 times m-reduction [i] based on digital (1, 13, 13)-net over F₇, 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(7¹¹, 16, F₇, 2, 7) (dual of [(16, 2), 21, 8]-NRT-code)	[i]		Extracting Embedded OOA
2	Linear OOA(7¹¹, 16, F₇, 3, 7) (dual of [(16, 3), 37, 8]-NRT-code)	[i]		Extracting Embedded OOA