MinT - Information on Result #2852813

Information on Result #2852813

Linear OOA(3¹⁶⁰, 60, F₃, 5, 82) (dual of [(60, 5), 140, 83]-NRT-code), using strength reduction based on linear OOA(3¹⁶⁰, 60, F₃, 5, 83) (dual of [(60, 5), 140, 84]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁵⁶, 28, F₃, 5, 41) (dual of [(28, 5), 84, 42]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,98P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁰⁴, 32, F₃, 5, 83) (dual of [(32, 5), 56, 84]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,76P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32, 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.