MinT - Information on Result #2773354

Information on Result #2773354

Linear OOA(3¹⁸⁸, 63, F₃, 4, 106) (dual of [(63, 4), 64, 107]-NRT-code), using strength reduction based on linear OOA(3¹⁸⁸, 63, F₃, 4, 108) (dual of [(63, 4), 64, 109]-NRT-code), using

constructionÂ X applied to AG(4;F,79P) âŠ‚ AG(4;F,108P) [i] based on
1. linear OOA(3¹⁵³, 47, F₃, 4, 108) (dual of [(47, 4), 35, 109]-NRT-code), using algebraic-geometric NRT-code AG(4;F,79P) [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(3¹²⁴, 47, F₃, 4, 79) (dual of [(47, 4), 64, 80]-NRT-code), using algebraic-geometric NRT-code AG(4;F,108P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3³⁵, 16, F₃, 4, 28) (dual of [(16, 4), 29, 29]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,35P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, 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.