MinT - Information on Result #2452351

Information on Result #2452351

Linear OOA(9¹⁴⁰, 72, F₉, 2, 124) (dual of [(72, 2), 4, 125]-NRT-code), using strength reduction based on linear OOA(9¹⁴⁰, 72, F₉, 2, 125) (dual of [(72, 2), 4, 126]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(9¹³, 8, F₉, 2, 13) (dual of [(8, 2), 3, 14]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(9¹³, 9, F₉, 2, 13) (dual of [(9, 2), 5, 14]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;5,9) [i]
2. linear OOA(9¹⁵, 8, F₉, 2, 15) (dual of [(8, 2), 1, 16]-NRT-code), using
  - dual of repetition NRT-code with length 8 [i]
3. linear OOA(9¹⁶, 8, F₉, 2, 16) (dual of [(8, 2), 0, 17]-NRT-code), using
  - complete OOA / dual of NRT-code with only one code word [i]
4. linear OOA(9¹⁶, 8, F₉, 2, 16) (dual of [(8, 2), 0, 17]-NRT-code) (see above)
5. linear OOA(9¹⁶, 8, F₉, 2, 16) (dual of [(8, 2), 0, 17]-NRT-code) (see above)
6. linear OOA(9¹⁶, 8, F₉, 2, 16) (dual of [(8, 2), 0, 17]-NRT-code) (see above)
7. linear OOA(9¹⁶, 8, F₉, 2, 16) (dual of [(8, 2), 0, 17]-NRT-code) (see above)
8. linear OOA(9¹⁶, 8, F₉, 2, 16) (dual of [(8, 2), 0, 17]-NRT-code) (see above)
9. linear OOA(9¹⁶, 8, F₉, 2, 16) (dual of [(8, 2), 0, 17]-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.