MinT - Information on Result #2698169

Information on Result #2698169

Linear OOA(7¹⁰⁸, 43, F₇, 3, 70) (dual of [(43, 3), 21, 71]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(7¹⁰⁵, 42, F₇, 3, 70) (dual of [(42, 3), 21, 71]-NRT-code), using

strength reduction [i] based on linear OOA(7¹⁰⁵, 42, F₇, 3, 71) (dual of [(42, 3), 21, 72]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(7¹¹, 7, F₇, 3, 11) (dual of [(7, 3), 10, 12]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(3;10,7) [i]
  2. linear OOA(7¹⁴, 7, F₇, 3, 14) (dual of [(7, 3), 7, 15]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(3;7,7) [i]
  3. linear OOA(7¹⁷, 7, F₇, 3, 17) (dual of [(7, 3), 4, 18]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(3;4,7) [i]
  4. linear OOA(7²¹, 7, F₇, 3, 21) (dual of [(7, 3), 0, 22]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
  5. linear OOA(7²¹, 7, F₇, 3, 21) (dual of [(7, 3), 0, 22]-NRT-code) (see above)
  6. linear OOA(7²¹, 7, F₇, 3, 21) (dual of [(7, 3), 0, 22]-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.