MinT - Information on Result #2984406

Information on Result #2984406

Linear OOA(2¹⁵³, 44, F₂, 8, 86) (dual of [(44, 8), 199, 87]-NRT-code), using strength reduction based on linear OOA(2¹⁵³, 44, F₂, 8, 87) (dual of [(44, 8), 199, 88]-NRT-code), using

constructionÂ X applied to AG(8;F,240P) âŠ‚ AG(8;F,253P) [i] based on
1. linear OOA(2¹⁴¹, 41, F₂, 8, 87) (dual of [(41, 8), 187, 88]-NRT-code), using algebraic-geometric NRT-code AG(8;F,240P) [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(2¹²⁸, 41, F₂, 8, 74) (dual of [(41, 8), 200, 75]-NRT-code), using algebraic-geometric NRT-code AG(8;F,253P) [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.