MinT - Information on Result #1061998

Information on Result #1061998

Linear OOA(3⁵⁵, 17, F₃, 4, 33) (dual of [(17, 4), 13, 34]-NRT-code), using OOA 2-folding based on linear OOA(3⁵⁵, 34, F₃, 2, 33) (dual of [(34, 2), 13, 34]-NRT-code), using

constructionÂ X applied to AG(2;F,20P) âŠ‚ AG(2;F,27P) [i] based on
1. linear OOA(3⁴⁸, 27, F₃, 2, 33) (dual of [(27, 2), 6, 34]-NRT-code), using algebraic-geometric NRT-code AG(2;F,20P) [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(3⁴¹, 27, F₃, 2, 26) (dual of [(27, 2), 13, 27]-NRT-code), using algebraic-geometric NRT-code AG(2;F,27P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
3. linear OOA(3⁷, 7, F₃, 2, 6) (dual of [(7, 2), 7, 7]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,7P) [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.