MinT - Information on Result #2645984

Information on Result #2645984

Linear OOA(8¹⁶⁶, 106, F₈, 3, 115) (dual of [(106, 3), 152, 116]-NRT-code), using strength reduction based on linear OOA(8¹⁶⁶, 106, F₈, 3, 116) (dual of [(106, 3), 152, 117]-NRT-code), using

constructionÂ X applied to AG(3;F,174P) âŠ‚ AG(3;F,188P) [i] based on
1. linear OOA(8¹⁵³, 97, F₈, 3, 116) (dual of [(97, 3), 138, 117]-NRT-code), using algebraic-geometric NRT-code AG(3;F,174P) [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(8¹³⁹, 97, F₈, 3, 102) (dual of [(97, 3), 152, 103]-NRT-code), using algebraic-geometric NRT-code AG(3;F,188P) [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.