MinT - Information on Result #2664307

Information on Result #2664307

Linear OOA(7⁷⁷, 31, F₇, 3, 53) (dual of [(31, 3), 16, 54]-NRT-code), using 2 step truncation based on linear OOA(7⁷⁹, 32, F₇, 3, 55) (dual of [(32, 3), 17, 56]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(7¹³, 8, F₇, 3, 13) (dual of [(8, 3), 11, 14]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;11,7) [i]
2. linear OOA(7¹⁸, 8, F₇, 3, 18) (dual of [(8, 3), 6, 19]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;6,7) [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)

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.