MinT - Information on Result #2682745

Information on Result #2682745

Linear OOA(3¹⁴², 57, F₃, 3, 82) (dual of [(57, 3), 29, 83]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3¹³⁹, 56, F₃, 3, 82) (dual of [(56, 3), 29, 83]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁵⁶, 28, F₃, 3, 41) (dual of [(28, 3), 28, 42]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,42P) [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(3⁸³, 28, F₃, 3, 82) (dual of [(28, 3), 1, 83]-NRT-code), using
  - strength reduction [i] based on linear OOA(3⁸³, 28, F₃, 3, 83) (dual of [(28, 3), 1, 84]-NRT-code), using
    - dual of repetition NRT-code with length 28 [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.