MinT - Information on Result #2774925

Information on Result #2774925

Linear OOA(3²¹³, 71, F₃, 4, 113) (dual of [(71, 4), 71, 114]-NRT-code), using strength reduction based on linear OOA(3²¹³, 71, F₃, 4, 114) (dual of [(71, 4), 71, 115]-NRT-code), using

constructionÂ X applied to AG(4;F,73P) âŠ‚ AG(4;F,115P) [i] based on
1. linear OOA(3¹⁵⁹, 47, F₃, 4, 114) (dual of [(47, 4), 29, 115]-NRT-code), using algebraic-geometric NRT-code AG(4;F,73P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹¹⁷, 47, F₃, 4, 72) (dual of [(47, 4), 71, 73]-NRT-code), using algebraic-geometric NRT-code AG(4;F,115P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3⁵⁴, 24, F₃, 4, 41) (dual of [(24, 4), 42, 42]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,54P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, 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.