MinT - Information on Result #2769913

Information on Result #2769913

Linear OOA(3¹¹⁵, 43, F₃, 4, 74) (dual of [(43, 4), 57, 75]-NRT-code), using strength reduction based on linear OOA(3¹¹⁵, 43, F₃, 4, 75) (dual of [(43, 4), 57, 76]-NRT-code), using

constructionÂ X applied to AG(4;F,34P) âŠ‚ AG(4;F,41P) [i] based on
1. linear OOA(3¹⁰¹, 36, F₃, 4, 75) (dual of [(36, 4), 43, 76]-NRT-code), using algebraic-geometric NRT-code AG(4;F,34P) with degPÂ =Â 2 [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
2. linear OOA(3⁸⁷, 36, F₃, 4, 61) (dual of [(36, 4), 57, 62]-NRT-code), using algebraic-geometric NRT-code AG(4;F,41P) with degPÂ =Â 2 [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36 (see above)
3. linear OOA(3¹⁴, 7, F₃, 4, 13) (dual of [(7, 4), 14, 14]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,14P) [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.