MinT - Information on Result #2475031

Information on Result #2475031

Linear OOA(7⁸⁴, 44, F₇, 2, 73) (dual of [(44, 2), 4, 74]-NRT-code), using 10 step truncation based on linear OOA(7⁹⁴, 49, F₇, 2, 83) (dual of [(49, 2), 4, 84]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(7¹¹, 7, F₇, 2, 11) (dual of [(7, 2), 3, 12]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(2;3,7) [i]
2. linear OOA(7¹³, 7, F₇, 2, 13) (dual of [(7, 2), 1, 14]-NRT-code), using
  - dual of repetition NRT-code with length 7 [i]
  - Reedâ€“Solomon NRT-code RS(2;1,7) [i]
3. linear OOA(7¹⁴, 7, F₇, 2, 14) (dual of [(7, 2), 0, 15]-NRT-code), using
  - complete OOA / dual of NRT-code with only one code word [i]
4. linear OOA(7¹⁴, 7, F₇, 2, 14) (dual of [(7, 2), 0, 15]-NRT-code) (see above)
5. linear OOA(7¹⁴, 7, F₇, 2, 14) (dual of [(7, 2), 0, 15]-NRT-code) (see above)
6. linear OOA(7¹⁴, 7, F₇, 2, 14) (dual of [(7, 2), 0, 15]-NRT-code) (see above)
7. linear OOA(7¹⁴, 7, F₇, 2, 14) (dual of [(7, 2), 0, 15]-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.