MinT - Information on Result #2840483

Information on Result #2840483

Linear OOA(2¹³⁸, 44, F₂, 5, 75) (dual of [(44, 5), 82, 76]-NRT-code), using strength reduction based on linear OOA(2¹³⁸, 44, F₂, 5, 77) (dual of [(44, 5), 82, 78]-NRT-code), using

constructionÂ X applied to AG(5;F,127P) âŠ‚ AG(5;F,135P) [i] based on
1. linear OOA(2¹³¹, 41, F₂, 5, 77) (dual of [(41, 5), 74, 78]-NRT-code), using algebraic-geometric NRT-code AG(5;F,127P) [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(2¹²³, 41, F₂, 5, 69) (dual of [(41, 5), 82, 70]-NRT-code), using algebraic-geometric NRT-code AG(5;F,135P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42 (see above)
3. linear OOA(2⁷, 3, F₂, 5, 7) (dual of [(3, 5), 8, 8]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(5;8,2) [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.