MinT - Information on Result #1179524

Information on Result #1179524

Digital (11, 15, 4105)-net over F₈, using net defined by OOA based on linear OOA(8¹⁵, 4105, F₈, 4, 4) (dual of [(4105, 4), 16405, 5]-NRT-code), using

appending kth column [i] based on linear OOA(8¹⁵, 4105, F₈, 3, 4) (dual of [(4105, 3), 12300, 5]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(8³, 73, F₈, 3, 2) (dual of [(73, 3), 216, 3]-NRT-code), using
    - appending 1 arbitrary column [i] based on linear OOA(8³, 73, F₈, 2, 2) (dual of [(73, 2), 143, 3]-NRT-code), using
      - appending kth column [i] based on linear OA(8³, 73, F₈, 2) (dual of [73, 70, 3]-code), using
        Hamming code H(3,8) [i]
  2. linear OOA(8¹², 4032, F₈, 3, 4) (dual of [(4032, 3), 12084, 5]-NRT-code), using
    - OA 2-folding and stacking [i] based on linear OA(8¹², 8064, F₈, 4) (dual of [8064, 8052, 5]-code), using
      - trace code [i] based on linear OA(64⁶, 4032, F₆₄, 4) (dual of [4032, 4026, 5]-code), using
        1 times truncation [i] based on linear OA(64⁷, 4033, F₆₄, 5) (dual of [4033, 4026, 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 (65, 73, 4198405)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
2	Digital (72, 81, 4198405)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
3	Digital (156, 170, 4797589)-net over F₈	[i]		Generalized (u,Â u+v)-Construction for Nets
4	Digital (141, 154, 5596505)-net over F₈	[i]
5	Digital (134, 146, 5596505)-net over F₈	[i]