MinT - Information on Result #1179106

Information on Result #1179106

Digital (4, 10, 515)-net over F₂₅₆, using net defined by OOA based on linear OOA(256¹⁰, 515, F₂₅₆, 6, 6) (dual of [(515, 6), 3080, 7]-NRT-code), using

appending kth column [i] based on linear OOA(256¹⁰, 515, F₂₅₆, 5, 6) (dual of [(515, 5), 2565, 7]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(256³, 257, F₂₅₆, 5, 3) (dual of [(257, 5), 1282, 4]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(5;1282,256) [i]
  2. linear OOA(256⁷, 258, F₂₅₆, 5, 6) (dual of [(258, 5), 1283, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (1, 7, 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 (21, 33, 11438)-net over F₂₅₆	[i]	(u,Â u+v)-Construction for Nets
2	Digital (32, 44, 1398615)-net over F₂₅₆	[i]
3	Digital (34, 47, 1398615)-net over F₂₅₆	[i]