MinT - Information on Result #2688781

Information on Result #2688781

Linear OOA(4⁶⁵, 44, F₄, 3, 33) (dual of [(44, 3), 67, 34]-NRT-code), using 4¹ times duplication based on linear OOA(4⁶⁴, 44, F₄, 3, 33) (dual of [(44, 3), 68, 34]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(4²¹, 17, F₄, 3, 16) (dual of [(17, 3), 30, 17]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,34P) [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(4⁴³, 27, F₄, 3, 33) (dual of [(27, 3), 38, 34]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,47P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, using
    - an explicitly constructive algebraic function field [i]

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.