MinT - Information on Result #2774707

Information on Result #2774707

Linear OOA(3²¹⁰, 66, F₃, 4, 121) (dual of [(66, 4), 54, 122]-NRT-code), using strength reduction based on linear OOA(3²¹⁰, 66, F₃, 4, 123) (dual of [(66, 4), 54, 124]-NRT-code), using

constructionÂ X applied to AG(4;F,64P) âŠ‚ AG(4;F,98P) [i] based on
1. linear OOA(3¹⁶⁸, 47, F₃, 4, 123) (dual of [(47, 4), 20, 124]-NRT-code), using algebraic-geometric NRT-code AG(4;F,64P) [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(3¹³⁴, 47, F₃, 4, 89) (dual of [(47, 4), 54, 90]-NRT-code), using algebraic-geometric NRT-code AG(4;F,98P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3⁴², 19, F₃, 4, 33) (dual of [(19, 4), 34, 34]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,42P) [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.