MinT - Information on Result #2871707

Information on Result #2871707

Linear OOA(2¹⁹⁴, 59, F₂, 5, 93) (dual of [(59, 5), 101, 94]-NRT-code), using 2¹ times duplication based on linear OOA(2¹⁹³, 59, F₂, 5, 93) (dual of [(59, 5), 102, 94]-NRT-code), using

constructionÂ X applied to AG(5;F,73P) âŠ‚ AG(5;F,85P) [i] based on
1. linear OOA(2¹⁶², 48, F₂, 5, 93) (dual of [(48, 5), 78, 94]-NRT-code), using algebraic-geometric NRT-code AG(5;F,73P) 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(2¹³⁸, 48, F₂, 5, 69) (dual of [(48, 5), 102, 70]-NRT-code), using algebraic-geometric NRT-code AG(5;F,85P) with degPÂ =Â 2 [i] based on function field F/F₂ with g(F) = 69 and N(F) ≥ 48 (see above)
3. linear OOA(2³¹, 11, F₂, 5, 23) (dual of [(11, 5), 24, 24]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,31P) [i] based on function field F/F₂ with g(F) = 8 and N(F) ≥ 11, 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.