MinT - Information on Result #1179728

Information on Result #1179728

Digital (4, 11, 515)-net over F₂₅₆, using net defined by OOA based on linear OOA(256¹¹, 515, F₂₅₆, 7, 7) (dual of [(515, 7), 3594, 8]-NRT-code), using

appending kth column [i] based on linear OOA(256¹¹, 515, F₂₅₆, 6, 7) (dual of [(515, 6), 3079, 8]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(256³, 257, F₂₅₆, 6, 3) (dual of [(257, 6), 1539, 4]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(6;1539,256) [i]
  2. linear OOA(256⁸, 258, F₂₅₆, 6, 7) (dual of [(258, 6), 1540, 8]-NRT-code), using
    - extracting embedded OOA [i] based on digital (1, 8, 258)-net over F₂₅₆, using
      - net from sequence [i] based on digital (1, 257)-sequence over F₂₅₆, using
        Niederreiter sequence [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		Method
1	Digital (24, 38, 9877)-net over F₂₅₆	[i]	(u,Â u+v)-Construction for Nets
2	Digital (37, 51, 1198886)-net over F₂₅₆	[i]
3	Digital (25, 40, 9877)-net over F₂₅₆	[i]
4	Digital (39, 54, 1198886)-net over F₂₅₆	[i]