MinT - Information on Result #2475424

Information on Result #2475424

Linear OOA(7⁹², 53, F₇, 2, 63) (dual of [(53, 2), 14, 64]-NRT-code), using 5 step truncation based on linear OOA(7⁹⁷, 56, F₇, 2, 68) (dual of [(56, 2), 15, 69]-NRT-code), using

strength reduction [i] based on linear OOA(7⁹⁷, 56, F₇, 2, 69) (dual of [(56, 2), 15, 70]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(7⁹, 8, F₇, 2, 9) (dual of [(8, 2), 7, 10]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;7,7) [i]
  2. linear OOA(7¹¹, 8, F₇, 2, 11) (dual of [(8, 2), 5, 12]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;5,7) [i]
  3. linear OOA(7¹³, 8, F₇, 2, 13) (dual of [(8, 2), 3, 14]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;3,7) [i]
  4. linear OOA(7¹⁶, 8, F₇, 2, 16) (dual of [(8, 2), 0, 17]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
  5. linear OOA(7¹⁶, 8, F₇, 2, 16) (dual of [(8, 2), 0, 17]-NRT-code) (see above)
  6. linear OOA(7¹⁶, 8, F₇, 2, 16) (dual of [(8, 2), 0, 17]-NRT-code) (see above)
  7. linear OOA(7¹⁶, 8, F₇, 2, 16) (dual of [(8, 2), 0, 17]-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.