MinT - Information on Result #2861441

Information on Result #2861441

Linear OOA(2²⁴⁸, 54, F₂, 5, 163) (dual of [(54, 5), 22, 164]-NRT-code), using 5 step truncation based on linear OOA(2²⁵³, 55, F₂, 5, 168) (dual of [(55, 5), 22, 169]-NRT-code), using

constructionÂ X applied to AG(5;F,0P) âŠ‚ AG(5;F,75P) [i] based on
1. linear OOA(2²⁰⁴, 41, F₂, 5, 204) (dual of [(41, 5), 1, 205]-NRT-code), using algebraic-geometric NRT-code AG(5;F,0P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁸³, 41, F₂, 5, 129) (dual of [(41, 5), 22, 130]-NRT-code), using algebraic-geometric NRT-code AG(5;F,75P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42 (see above)
3. linear OOA(2⁴⁹, 14, F₂, 5, 38) (dual of [(14, 5), 21, 39]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,31P) [i] based on function field F/F₂ with g(F) = 11 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.