MinT - Information on Result #2642803

Information on Result #2642803

Linear OOA(7¹⁰⁹, 40, F₇, 3, 83) (dual of [(40, 3), 11, 84]-NRT-code), using strength reduction based on linear OOA(7¹⁰⁹, 40, F₇, 3, 84) (dual of [(40, 3), 11, 85]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(7¹⁶, 8, F₇, 3, 16) (dual of [(8, 3), 8, 17]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;8,7) [i]
2. linear OOA(7²¹, 8, F₇, 3, 21) (dual of [(8, 3), 3, 22]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;3,7) [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)
5. 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.