MinT - Information on Result #2634085

Information on Result #2634085

Linear OOA(4¹⁹⁵, 68, F₄, 3, 150) (dual of [(68, 3), 9, 151]-NRT-code), using strength reduction based on linear OOA(4¹⁹⁵, 68, F₄, 3, 152) (dual of [(68, 3), 9, 153]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(4⁴³, 17, F₄, 3, 38) (dual of [(17, 3), 8, 39]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4⁵⁰, 17, F₄, 3, 50) (dual of [(17, 3), 1, 51]-NRT-code), using
  - dual of repetition NRT-code with length 17 [i]
3. linear OOA(4⁵¹, 17, F₄, 3, 51) (dual of [(17, 3), 0, 52]-NRT-code), using
  - complete OOA / dual of NRT-code with only one code word [i]
4. linear OOA(4⁵¹, 17, F₄, 3, 51) (dual of [(17, 3), 0, 52]-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.