MinT - Information on Result #2621422

Information on Result #2621422

Linear OOA(3¹⁰³, 39, F₃, 3, 71) (dual of [(39, 3), 14, 72]-NRT-code), using strength reduction based on linear OOA(3¹⁰³, 39, F₃, 3, 72) (dual of [(39, 3), 14, 73]-NRT-code), using

constructionÂ X applied to AG(3;F,0P) âŠ‚ AG(3;F,28P) [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(3⁶⁷, 27, F₃, 3, 52) (dual of [(27, 3), 14, 53]-NRT-code), using algebraic-geometric NRT-code AG(3;F,28P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
3. linear OOA(3²³, 12, F₃, 3, 19) (dual of [(12, 3), 13, 20]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,16P) [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.