MinT - Information on Result #2857307

Information on Result #2857307

Linear OOA(3²³⁰, 57, F₃, 5, 158) (dual of [(57, 5), 55, 159]-NRT-code), using strength reduction based on linear OOA(3²³⁰, 57, F₃, 5, 159) (dual of [(57, 5), 55, 160]-NRT-code), using

constructionÂ X applied to AG(5;F,75P) âŠ‚ AG(5;F,99P) [i] based on
1. linear OOA(3²⁰⁴, 47, F₃, 5, 159) (dual of [(47, 5), 31, 160]-NRT-code), using algebraic-geometric NRT-code AG(5;F,75P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁸⁰, 47, F₃, 5, 135) (dual of [(47, 5), 55, 136]-NRT-code), using algebraic-geometric NRT-code AG(5;F,99P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3²⁶, 10, F₃, 5, 23) (dual of [(10, 5), 24, 24]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,26P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, 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.