MinT - Information on Result #2986271

Information on Result #2986271

Linear OOA(2¹⁸⁰, 44, F₂, 8, 113) (dual of [(44, 8), 172, 114]-NRT-code), using strength reduction based on linear OOA(2¹⁸⁰, 44, F₂, 8, 114) (dual of [(44, 8), 172, 115]-NRT-code), using

constructionÂ X applied to AG(8;F,213P) âŠ‚ AG(8;F,226P) [i] based on
1. linear OOA(2¹⁶⁸, 41, F₂, 8, 114) (dual of [(41, 8), 160, 115]-NRT-code), using algebraic-geometric NRT-code AG(8;F,213P) [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(2¹⁵⁵, 41, F₂, 8, 101) (dual of [(41, 8), 173, 102]-NRT-code), using algebraic-geometric NRT-code AG(8;F,226P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42 (see above)
3. linear OOA(2¹², 3, F₂, 8, 12) (dual of [(3, 8), 12, 13]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(8;12,2) [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.