MinT - Information on Result #2645830

Information on Result #2645830

Linear OOA(8¹⁶², 114, F₈, 3, 98) (dual of [(114, 3), 180, 99]-NRT-code), using strength reduction based on linear OOA(8¹⁶², 114, F₈, 3, 99) (dual of [(114, 3), 180, 100]-NRT-code), using

constructionÂ X applied to AG(3;F,191P) âŠ‚ AG(3;F,216P) [i] based on
1. linear OOA(8¹³⁶, 97, F₈, 3, 99) (dual of [(97, 3), 155, 100]-NRT-code), using algebraic-geometric NRT-code AG(3;F,191P) [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(8²⁶, 17, F₈, 3, 24) (dual of [(17, 3), 25, 25]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,26P) [i] based on function field F/F₈ with g(F) = 2 and N(F) ≥ 17, using
    - a function field by SÃ©mirat [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.