MinT - Information on Result #2637462

Information on Result #2637462

Linear OOA(4²⁴¹, 84, F₄, 3, 185) (dual of [(84, 3), 11, 186]-NRT-code), using strength reduction based on linear OOA(4²⁴¹, 84, F₄, 3, 187) (dual of [(84, 3), 11, 188]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(4⁵³, 21, F₄, 3, 46) (dual of [(21, 3), 10, 47]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,16P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4⁶², 21, F₄, 3, 62) (dual of [(21, 3), 1, 63]-NRT-code), using
  - dual of repetition NRT-code with length 21 [i]
3. linear OOA(4⁶³, 21, F₄, 3, 63) (dual of [(21, 3), 0, 64]-NRT-code), using
  - complete OOA / dual of NRT-code with only one code word [i]
4. linear OOA(4⁶³, 21, F₄, 3, 63) (dual of [(21, 3), 0, 64]-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.