MinT - Information on Result #2698178

Information on Result #2698178

Linear OOA(7¹⁰⁹, 41, F₇, 3, 79) (dual of [(41, 3), 14, 80]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(7¹⁰⁶, 40, F₇, 3, 79) (dual of [(40, 3), 14, 80]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(7¹⁵, 8, F₇, 3, 15) (dual of [(8, 3), 9, 16]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;9,7) [i]
2. linear OOA(7¹⁹, 8, F₇, 3, 19) (dual of [(8, 3), 5, 20]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;5,7) [i]
3. linear OOA(7²⁴, 8, F₇, 3, 24) (dual of [(8, 3), 0, 25]-NRT-code), using
  - complete OOA / dual of NRT-code with only one code word [i]
4. linear OOA(7²⁴, 8, F₇, 3, 24) (dual of [(8, 3), 0, 25]-NRT-code) (see above)
5. linear OOA(7²⁴, 8, F₇, 3, 24) (dual of [(8, 3), 0, 25]-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.