MinT - Information on Result #2855314

Information on Result #2855314

Linear OOA(3²⁰², 66, F₃, 5, 104) (dual of [(66, 5), 128, 105]-NRT-code), using strength reduction based on linear OOA(3²⁰², 66, F₃, 5, 105) (dual of [(66, 5), 128, 106]-NRT-code), using

constructionÂ X applied to AG(5;F,129P) âŠ‚ AG(5;F,173P) [i] based on
1. linear OOA(3¹⁵⁰, 47, F₃, 5, 105) (dual of [(47, 5), 85, 106]-NRT-code), using algebraic-geometric NRT-code AG(5;F,129P) [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(3¹⁰⁶, 47, F₃, 5, 61) (dual of [(47, 5), 129, 62]-NRT-code), using algebraic-geometric NRT-code AG(5;F,173P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3⁵², 19, F₃, 5, 43) (dual of [(19, 5), 43, 44]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,51P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, 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.