MinT - Information on Result #2468616

Information on Result #2468616

Linear OOA(4⁶⁷, 39, F₄, 2, 45) (dual of [(39, 2), 11, 46]-NRT-code), using 2 step truncation based on linear OOA(4⁶⁹, 40, F₄, 2, 47) (dual of [(40, 2), 11, 48]-NRT-code), using

constructionÂ X applied to AG(2;F,0P) âŠ‚ AG(2;F,20P) [i] based on
1. linear OOA(4⁵¹, 26, F₄, 2, 51) (dual of [(26, 2), 1, 52]-NRT-code), using algebraic-geometric NRT-code AG(2;F,0P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(4⁴¹, 26, F₄, 2, 31) (dual of [(26, 2), 11, 32]-NRT-code), using algebraic-geometric NRT-code AG(2;F,20P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27 (see above)
3. linear OOA(4¹⁸, 14, F₄, 2, 15) (dual of [(14, 2), 10, 16]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,12P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, 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.