MinT - Information on Result #2645955

Information on Result #2645955

Linear OOA(8¹⁶⁵, 106, F₈, 3, 114) (dual of [(106, 3), 153, 115]-NRT-code), using strength reduction based on linear OOA(8¹⁶⁵, 106, F₈, 3, 115) (dual of [(106, 3), 153, 116]-NRT-code), using

constructionÂ X applied to AG(3;F,175P) âŠ‚ AG(3;F,189P) [i] based on
1. linear OOA(8¹⁵², 97, F₈, 3, 115) (dual of [(97, 3), 139, 116]-NRT-code), using algebraic-geometric NRT-code AG(3;F,175P) [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(8¹³⁸, 97, F₈, 3, 101) (dual of [(97, 3), 153, 102]-NRT-code), using algebraic-geometric NRT-code AG(3;F,189P) [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.