MinT - Information on Result #2507207

Information on Result #2507207

Linear OOA(7¹⁰⁷, 57, F₇, 2, 83) (dual of [(57, 2), 7, 84]-NRT-code), using 7¹ times duplication based on linear OOA(7¹⁰⁶, 57, F₇, 2, 83) (dual of [(57, 2), 8, 84]-NRT-code), using

1 times NRT-code embedding in larger space [i] based on linear OOA(7¹⁰⁴, 56, F₇, 2, 83) (dual of [(56, 2), 8, 84]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. 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]
  2. 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]
  3. 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]
  4. linear OOA(7¹⁶, 8, F₇, 2, 16) (dual of [(8, 2), 0, 17]-NRT-code) (see above)
  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.