MinT - Information on Result #2507191

Information on Result #2507191

Linear OOA(7¹⁰⁶, 58, F₇, 2, 77) (dual of [(58, 2), 10, 78]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(7¹⁰², 56, F₇, 2, 77) (dual of [(56, 2), 10, 78]-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(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]
3. linear OOA(7¹⁵, 8, F₇, 2, 15) (dual of [(8, 2), 1, 16]-NRT-code), using
  - dual of repetition NRT-code with length 8 [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.