MinT - Information on Result #2794598

Information on Result #2794598

Linear OOA(2¹⁷³, 59, F₂, 4, 77) (dual of [(59, 4), 63, 78]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2¹⁶⁹, 58, F₂, 4, 77) (dual of [(58, 4), 63, 78]-NRT-code), using

constructionÂ X applied to AG(4;F,57P) âŠ‚ AG(4;F,66P) [i] based on
1. linear OOA(2¹⁴⁶, 48, F₂, 4, 77) (dual of [(48, 4), 46, 78]-NRT-code), using algebraic-geometric NRT-code AG(4;F,57P) with degPÂ =Â 2 [i] based on function field F/F₂ with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
2. linear OOA(2¹²⁸, 48, F₂, 4, 59) (dual of [(48, 4), 64, 60]-NRT-code), using algebraic-geometric NRT-code AG(4;F,66P) with degPÂ =Â 2 [i] based on function field F/F₂ with g(F) = 69 and N(F) ≥ 48 (see above)
3. linear OOA(2²³, 10, F₂, 4, 17) (dual of [(10, 4), 17, 18]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,22P) [i] based on function field F/F₂ with g(F) = 6 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.