MinT - Information on Result #2853725

Information on Result #2853725

Linear OOA(3¹⁷⁸, 59, F₃, 5, 99) (dual of [(59, 5), 117, 100]-NRT-code), using strength reduction based on linear OOA(3¹⁷⁸, 59, F₃, 5, 101) (dual of [(59, 5), 117, 102]-NRT-code), using

constructionÂ X applied to AG(5;F,133P) âŠ‚ AG(5;F,162P) [i] based on
1. linear OOA(3¹⁴⁶, 47, F₃, 5, 101) (dual of [(47, 5), 89, 102]-NRT-code), using algebraic-geometric NRT-code AG(5;F,133P) [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(3¹¹⁷, 47, F₃, 5, 72) (dual of [(47, 5), 118, 73]-NRT-code), using algebraic-geometric NRT-code AG(5;F,162P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3³², 12, F₃, 5, 28) (dual of [(12, 5), 28, 29]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,31P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, 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.