MinT - Information on Result #2506727

Information on Result #2506727

Linear OOA(7⁸⁵, 204, F₇, 2, 27) (dual of [(204, 2), 323, 28]-NRT-code), using 7¹ times duplication based on linear OOA(7⁸⁴, 204, F₇, 2, 27) (dual of [(204, 2), 324, 28]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(7²⁸, 102, F₇, 2, 13) (dual of [(102, 2), 176, 14]-NRT-code), using
  - extracting embedded OOA [i] based on digital (15, 28, 102)-net over F₇, using
    - trace code for nets [i] based on digital (1, 14, 51)-net over F₄₉, using
      - net from sequence [i] based on digital (1, 50)-sequence over F₄₉, using
        Niederreiter sequence [i]
2. linear OOA(7⁵⁶, 102, F₇, 2, 27) (dual of [(102, 2), 148, 28]-NRT-code), using
  - extracting embedded OOA [i] based on digital (29, 56, 102)-net over F₇, using
    - trace code for nets [i] based on digital (1, 28, 51)-net over F₄₉, using
      - net from sequence [i] based on digital (1, 50)-sequence over F₄₉ (see above)

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.