MinT - Information on Result #2621419

Information on Result #2621419

Linear OOA(3¹⁰³, 37, F₃, 3, 77) (dual of [(37, 3), 8, 78]-NRT-code), using strength reduction based on linear OOA(3¹⁰³, 37, F₃, 3, 79) (dual of [(37, 3), 8, 80]-NRT-code), using

constructionÂ X applied to AG(3;F,0P) âŠ‚ AG(3;F,22P) [i] based on
1. linear OOA(3⁸⁰, 27, F₃, 3, 80) (dual of [(27, 3), 1, 81]-NRT-code), using algebraic-geometric NRT-code AG(3;F,0P) [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(3⁷³, 27, F₃, 3, 58) (dual of [(27, 3), 8, 59]-NRT-code), using algebraic-geometric NRT-code AG(3;F,22P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
3. linear OOA(3²³, 10, F₃, 3, 20) (dual of [(10, 3), 7, 21]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,9P) [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.