MinT - Information on Result #2430110

Information on Result #2430110

Linear OOA(3⁵¹, 34, F₃, 2, 28) (dual of [(34, 2), 17, 29]-NRT-code), using strength reduction based on linear OOA(3⁵¹, 34, F₃, 2, 29) (dual of [(34, 2), 17, 30]-NRT-code), using

constructionÂ X applied to AG(2;F,24P) âŠ‚ AG(2;F,31P) [i] based on
1. linear OOA(3⁴⁴, 27, F₃, 2, 29) (dual of [(27, 2), 10, 30]-NRT-code), using algebraic-geometric NRT-code AG(2;F,24P) [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(3³⁷, 27, F₃, 2, 22) (dual of [(27, 2), 17, 23]-NRT-code), using algebraic-geometric NRT-code AG(2;F,31P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
3. linear OOA(3⁷, 7, F₃, 2, 6) (dual of [(7, 2), 7, 7]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, 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.