MinT - Information on Result #2622524

Information on Result #2622524

Linear OOA(3¹³³, 48, F₃, 3, 93) (dual of [(48, 3), 11, 94]-NRT-code), using strength reduction based on linear OOA(3¹³³, 48, F₃, 3, 95) (dual of [(48, 3), 11, 96]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(3³⁸, 16, F₃, 3, 31) (dual of [(16, 3), 10, 32]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,16P) [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(3⁴⁷, 16, F₃, 3, 47) (dual of [(16, 3), 1, 48]-NRT-code), using
  - dual of repetition NRT-code with length 16 [i]
3. linear OOA(3⁴⁸, 16, F₃, 3, 48) (dual of [(16, 3), 0, 49]-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.