MinT - Information on Result #2630540

Information on Result #2630540

Linear OOA(4¹⁰⁷, 40, F₄, 3, 79) (dual of [(40, 3), 13, 80]-NRT-code), using strength reduction based on linear OOA(4¹⁰⁷, 40, F₄, 3, 81) (dual of [(40, 3), 13, 82]-NRT-code), using

repeating each code word 2 times [i] based on linear OOA(4⁴⁷, 20, F₄, 3, 40) (dual of [(20, 3), 13, 41]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁴⁷, 21, F₄, 3, 40) (dual of [(21, 3), 16, 41]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,22P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, 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.