MinT - Information on Result #1180436

Information on Result #1180436

Digital (45, 58, 97)-net over F₂, using net defined by OOA based on linear OOA(2⁵⁸, 97, F₂, 18, 13) (dual of [(97, 18), 1688, 14]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(2⁵⁸, 98, F₂, 6, 13) (dual of [(98, 6), 530, 14]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁷, 48, F₂, 6, 6) (dual of [(48, 6), 271, 7]-NRT-code), using
    - appending kth column [i] based on linear OOA(2¹⁷, 48, F₂, 5, 6) (dual of [(48, 5), 223, 7]-NRT-code), using
      - extracting embedded OOA [i] based on digital (11, 17, 48)-net over F₂, using
        linear code embedding found in a computer search [i]
  2. linear OOA(2⁴¹, 50, F₂, 6, 13) (dual of [(50, 6), 259, 14]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2¹², 21, F₂, 6, 6) (dual of [(21, 6), 114, 7]-NRT-code), using
        appending kth column [i] based on linear OOA(2¹², 21, F₂, 5, 6) (dual of [(21, 5), 93, 7]-NRT-code), using
        extracting embedded OOA [i] based on digital (6, 12, 21)-net over F₂, using
        linear code embedding found in a computer search [i]
      2. linear OOA(2²⁹, 29, F₂, 6, 13) (dual of [(29, 6), 145, 14]-NRT-code), using
        extracting embedded OOA [i] based on digital (16, 29, 29)-net over F₂, 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

None.