MinT - Information on Result #2475280

Information on Result #2475280

Linear OOA(7⁵⁹, 39, F₇, 2, 36) (dual of [(39, 2), 19, 37]-NRT-code), using 1 step truncation based on linear OOA(7⁶⁰, 40, F₇, 2, 37) (dual of [(40, 2), 20, 38]-NRT-code), using

strength reduction [i] based on linear OOA(7⁶⁰, 40, F₇, 2, 38) (dual of [(40, 2), 20, 39]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(7⁷, 8, F₇, 2, 7) (dual of [(8, 2), 9, 8]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;9,7) [i]
  2. 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]
  3. linear OOA(7¹², 8, F₇, 2, 12) (dual of [(8, 2), 4, 13]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;4,7) [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)

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.