MinT - Information on Result #2642841

Information on Result #2642841

Linear OOA(7¹¹⁰, 42, F₇, 3, 78) (dual of [(42, 3), 16, 79]-NRT-code), using strength reduction based on linear OOA(7¹¹⁰, 42, F₇, 3, 79) (dual of [(42, 3), 16, 80]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(7¹³, 7, F₇, 3, 13) (dual of [(7, 3), 8, 14]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;8,7) [i]
2. linear OOA(7¹⁵, 7, F₇, 3, 15) (dual of [(7, 3), 6, 16]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;6,7) [i]
3. linear OOA(7¹⁹, 7, F₇, 3, 19) (dual of [(7, 3), 2, 20]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;2,7) [i]
4. linear OOA(7²¹, 7, F₇, 3, 21) (dual of [(7, 3), 0, 22]-NRT-code), using
  - complete OOA / dual of NRT-code with only one code word [i]
5. linear OOA(7²¹, 7, F₇, 3, 21) (dual of [(7, 3), 0, 22]-NRT-code) (see above)
6. linear OOA(7²¹, 7, F₇, 3, 21) (dual of [(7, 3), 0, 22]-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.