MinT - Information on Result #2644959

Information on Result #2644959

Linear OOA(8¹³⁸, 106, F₈, 3, 87) (dual of [(106, 3), 180, 88]-NRT-code), using strength reduction based on linear OOA(8¹³⁸, 106, F₈, 3, 88) (dual of [(106, 3), 180, 89]-NRT-code), using

constructionÂ X applied to AG(3;F,202P) âŠ‚ AG(3;F,216P) [i] based on
1. linear OOA(8¹²⁵, 97, F₈, 3, 88) (dual of [(97, 3), 166, 89]-NRT-code), using algebraic-geometric NRT-code AG(3;F,202P) [i] based on function field F/F₈ with g(F) = 37 and N(F) ≥ 98, using
  - F₅ from the tower of function fields over F₈ by van der Geer and van der Vlugt [i]
2. linear OOA(8¹¹¹, 97, F₈, 3, 74) (dual of [(97, 3), 180, 75]-NRT-code), using algebraic-geometric NRT-code AG(3;F,216P) [i] based on function field F/F₈ with g(F) = 37 and N(F) ≥ 98 (see above)
3. linear OOA(8¹³, 9, F₈, 3, 13) (dual of [(9, 3), 14, 14]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;14,8) [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.