MinT - Information on Result #2664333

Information on Result #2664333

Linear OOA(7⁹⁹, 37, F₇, 3, 73) (dual of [(37, 3), 12, 74]-NRT-code), using 9 step truncation based on linear OOA(7¹⁰⁸, 40, F₇, 3, 82) (dual of [(40, 3), 12, 83]-NRT-code), using

strength reduction [i] based on linear OOA(7¹⁰⁸, 40, F₇, 3, 83) (dual of [(40, 3), 12, 84]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(7¹⁶, 8, F₇, 3, 16) (dual of [(8, 3), 8, 17]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(3;8,7) [i]
  2. linear OOA(7²⁰, 8, F₇, 3, 20) (dual of [(8, 3), 4, 21]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(3;4,7) [i]
  3. linear OOA(7²⁴, 8, F₇, 3, 24) (dual of [(8, 3), 0, 25]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
  4. linear OOA(7²⁴, 8, F₇, 3, 24) (dual of [(8, 3), 0, 25]-NRT-code) (see above)
  5. linear OOA(7²⁴, 8, F₇, 3, 24) (dual of [(8, 3), 0, 25]-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.