MinT - Information on Result #2776110

Information on Result #2776110

Linear OOA(3²²⁹, 67, F₃, 4, 142) (dual of [(67, 4), 39, 143]-NRT-code), using strength reduction based on linear OOA(3²²⁹, 67, F₃, 4, 143) (dual of [(67, 4), 39, 144]-NRT-code), using

constructionÂ X applied to AG(4;F,0P) âŠ‚ AG(4;F,66P) [i] based on
1. linear OOA(3¹⁴³, 36, F₃, 4, 143) (dual of [(36, 4), 1, 144]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) [i] based on function field F/F₃ with g(F) = 28 and N(F) ≥ 37, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁰⁵, 36, F₃, 4, 77) (dual of [(36, 4), 39, 78]-NRT-code), using algebraic-geometric NRT-code AG(4;F,66P) [i] based on function field F/F₃ with g(F) = 28 and N(F) ≥ 37 (see above)
3. linear OOA(3⁸⁶, 31, F₃, 4, 65) (dual of [(31, 4), 38, 66]-NRT-code), using
  - algebraic-geometric NRT-code AG(4;F,58P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32, 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.