MinT - Information on Result #2430799

Information on Result #2430799

Linear OOA(3⁹⁰, 48, F₃, 2, 61) (dual of [(48, 2), 6, 62]-NRT-code), using strength reduction based on linear OOA(3⁹⁰, 48, F₃, 2, 62) (dual of [(48, 2), 6, 63]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(3²⁷, 16, F₃, 2, 20) (dual of [(16, 2), 5, 21]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,11P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3³¹, 16, F₃, 2, 31) (dual of [(16, 2), 1, 32]-NRT-code), using
  - dual of repetition NRT-code with length 16 [i]
3. linear OOA(3³², 16, F₃, 2, 32) (dual of [(16, 2), 0, 33]-NRT-code), using
  - complete OOA / dual of NRT-code with only one code word [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.