MinT - Information on Result #2474852

Information on Result #2474852

Linear OOA(5¹²⁹, 68, F₅, 2, 99) (dual of [(68, 2), 7, 100]-NRT-code), using 8 step truncation based on linear OOA(5¹³⁷, 72, F₅, 2, 107) (dual of [(72, 2), 7, 108]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(5³⁰, 18, F₅, 2, 26) (dual of [(18, 2), 6, 27]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,9P) [i] based on function field F/F₅ with g(F) = 4 and N(F) ≥ 18, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(5³⁵, 18, F₅, 2, 35) (dual of [(18, 2), 1, 36]-NRT-code), using
  - dual of repetition NRT-code with length 18 [i]
3. linear OOA(5³⁶, 18, F₅, 2, 36) (dual of [(18, 2), 0, 37]-NRT-code), using
  - complete OOA / dual of NRT-code with only one code word [i]
4. linear OOA(5³⁶, 18, F₅, 2, 36) (dual of [(18, 2), 0, 37]-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.