MinT - Information on Result #2664508

Information on Result #2664508

Linear OOA(7¹⁰², 43, F₇, 3, 61) (dual of [(43, 3), 27, 62]-NRT-code), using 1 step truncation based on linear OOA(7¹⁰³, 44, F₇, 3, 62) (dual of [(44, 3), 29, 63]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(7¹², 8, F₇, 3, 12) (dual of [(8, 3), 12, 13]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;12,7) [i]
2. linear OOA(7¹⁶, 9, F₇, 3, 15) (dual of [(9, 3), 11, 16]-NRT-code), using
  - extracting embedded OOA [i] based on digital (1, 16, 9)-net over F₇, using
    - net from sequence [i] based on digital (1, 8)-sequence over F₇, using
      - Niederreiter sequence [i]
3. linear OOA(7²¹, 9, F₇, 3, 20) (dual of [(9, 3), 6, 21]-NRT-code), using
  - extracting embedded OOA [i] based on digital (1, 21, 9)-net over F₇, using
    - net from sequence [i] based on digital (1, 8)-sequence over F₇ (see above)
4. linear OOA(7²⁷, 9, F₇, 3, 27) (dual of [(9, 3), 0, 28]-NRT-code), using
  - complete OOA / dual of NRT-code with only one code word [i]
5. linear OOA(7²⁷, 9, F₇, 3, 27) (dual of [(9, 3), 0, 28]-NRT-code) (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.