MinT - Information on Result #2697627

Information on Result #2697627

Linear OOA(7⁶⁷, 204, F₇, 3, 21) (dual of [(204, 3), 545, 22]-NRT-code), using 7¹ times duplication based on linear OOA(7⁶⁶, 204, F₇, 3, 21) (dual of [(204, 3), 546, 22]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(7²², 102, F₇, 3, 10) (dual of [(102, 3), 284, 11]-NRT-code), using
  - extracting embedded OOA [i] based on digital (12, 22, 102)-net over F₇, using
    - trace code for nets [i] based on digital (1, 11, 51)-net over F₄₉, using
      - net from sequence [i] based on digital (1, 50)-sequence over F₄₉, using
        Niederreiter sequence [i]
2. linear OOA(7⁴⁴, 102, F₇, 3, 21) (dual of [(102, 3), 262, 22]-NRT-code), using
  - extracting embedded OOA [i] based on digital (23, 44, 102)-net over F₇, using
    - trace code for nets [i] based on digital (1, 22, 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.