MinT - Information on Result #2775345

Information on Result #2775345

Linear OOA(3²¹⁹, 75, F₃, 4, 108) (dual of [(75, 4), 81, 109]-NRT-code), using strength reduction based on linear OOA(3²¹⁹, 75, F₃, 4, 111) (dual of [(75, 4), 81, 112]-NRT-code), using

constructionÂ X applied to AG(4;F,76P) âŠ‚ AG(4;F,125P) [i] based on
1. linear OOA(3¹⁵⁶, 47, F₃, 4, 111) (dual of [(47, 4), 32, 112]-NRT-code), using algebraic-geometric NRT-code AG(4;F,76P) [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(3¹⁰⁷, 47, F₃, 4, 62) (dual of [(47, 4), 81, 63]-NRT-code), using algebraic-geometric NRT-code AG(4;F,125P) [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.