MinT - Information on Result #2771614

Information on Result #2771614

Linear OOA(3¹⁵⁸, 59, F₃, 4, 86) (dual of [(59, 4), 78, 87]-NRT-code), using strength reduction based on linear OOA(3¹⁵⁸, 59, F₃, 4, 87) (dual of [(59, 4), 78, 88]-NRT-code), using

constructionÂ X applied to AG(4;F,100P) âŠ‚ AG(4;F,123P) [i] based on
1. linear OOA(3¹³², 47, F₃, 4, 87) (dual of [(47, 4), 56, 88]-NRT-code), using algebraic-geometric NRT-code AG(4;F,100P) [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(3¹⁰⁹, 47, F₃, 4, 64) (dual of [(47, 4), 79, 65]-NRT-code), using algebraic-geometric NRT-code AG(4;F,123P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3²⁶, 12, F₃, 4, 22) (dual of [(12, 4), 22, 23]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,25P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, 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.