MinT - Information on Result #2664230

Information on Result #2664230

Linear OOA(7⁷⁰, 27, F₇, 3, 52) (dual of [(27, 3), 11, 53]-NRT-code), using 3 step truncation based on linear OOA(7⁷³, 28, F₇, 3, 55) (dual of [(28, 3), 11, 56]-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(7¹⁸, 7, F₇, 3, 18) (dual of [(7, 3), 3, 19]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;3,7) [i]
3. 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]
4. 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.