MinT - Information on Result #2774929

Information on Result #2774929

Linear OOA(3²¹³, 75, F₃, 4, 103) (dual of [(75, 4), 87, 104]-NRT-code), using strength reduction based on linear OOA(3²¹³, 75, F₃, 4, 105) (dual of [(75, 4), 87, 106]-NRT-code), using

constructionÂ X applied to AG(4;F,82P) âŠ‚ AG(4;F,131P) [i] based on
1. linear OOA(3¹⁵⁰, 47, F₃, 4, 105) (dual of [(47, 4), 38, 106]-NRT-code), using algebraic-geometric NRT-code AG(4;F,82P) [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(3¹⁰¹, 47, F₃, 4, 56) (dual of [(47, 4), 87, 57]-NRT-code), using algebraic-geometric NRT-code AG(4;F,131P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3⁶³, 28, F₃, 4, 48) (dual of [(28, 4), 49, 49]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,63P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [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.