MinT - Information on Result #2698134

Information on Result #2698134

Linear OOA(7⁸⁴, 33, F₇, 3, 58) (dual of [(33, 3), 15, 59]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(7⁸¹, 32, F₇, 3, 58) (dual of [(32, 3), 15, 59]-NRT-code), using

strength reduction [i] based on linear OOA(7⁸¹, 32, F₇, 3, 59) (dual of [(32, 3), 15, 60]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(7¹⁴, 8, F₇, 3, 14) (dual of [(8, 3), 10, 15]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(3;10,7) [i]
  2. linear OOA(7¹⁹, 8, F₇, 3, 19) (dual of [(8, 3), 5, 20]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(3;5,7) [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.