MinT - Information on Result #2475271

Information on Result #2475271

Linear OOA(7⁷⁷, 45, F₇, 2, 54) (dual of [(45, 2), 13, 55]-NRT-code), using 5 step truncation based on linear OOA(7⁸², 48, F₇, 2, 59) (dual of [(48, 2), 14, 60]-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(7¹⁴, 8, F₇, 2, 14) (dual of [(8, 2), 2, 15]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;2,7) [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)

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.