MinT - Information on Result #2664188

Information on Result #2664188

Linear OOA(7¹⁰⁰, 35, F₇, 3, 85) (dual of [(35, 3), 5, 86]-NRT-code), using 3 step truncation based on linear OOA(7¹⁰³, 36, F₇, 3, 88) (dual of [(36, 3), 5, 89]-NRT-code), using

strength reduction [i] based on linear OOA(7¹⁰³, 36, F₇, 3, 89) (dual of [(36, 3), 5, 90]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(7¹⁴, 6, F₇, 3, 14) (dual of [(6, 3), 4, 15]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(7¹⁴, 7, F₇, 3, 14) (dual of [(7, 3), 7, 15]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(3;7,7) [i]
  2. linear OOA(7¹⁷, 6, F₇, 3, 17) (dual of [(6, 3), 1, 18]-NRT-code), using
    - dual of repetition NRT-code with length 6 [i]
  3. linear OOA(7¹⁸, 6, F₇, 3, 18) (dual of [(6, 3), 0, 19]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
  4. linear OOA(7¹⁸, 6, F₇, 3, 18) (dual of [(6, 3), 0, 19]-NRT-code) (see above)
  5. linear OOA(7¹⁸, 6, F₇, 3, 18) (dual of [(6, 3), 0, 19]-NRT-code) (see above)
  6. linear OOA(7¹⁸, 6, F₇, 3, 18) (dual of [(6, 3), 0, 19]-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.