MinT - Information on Result #2637758

Information on Result #2637758

Linear OOA(4²⁴⁴, 156, F₄, 3, 93) (dual of [(156, 3), 224, 94]-NRT-code), using strength reduction based on linear OOA(4²⁴⁴, 156, F₄, 3, 94) (dual of [(156, 3), 224, 95]-NRT-code), using

constructionÂ X applied to AG(3;F,292P) âŠ‚ AG(3;F,328P) [i] based on
1. linear OOA(4¹⁹⁹, 129, F₄, 3, 94) (dual of [(129, 3), 188, 95]-NRT-code), using algebraic-geometric NRT-code AG(3;F,292P) [i] based on function field F/F₄ with g(F) = 105 and N(F) ≥ 130, using
  - T₇ from the second tower of function fields by GarcÃa and Stichtenoth over F₄ [i]
2. linear OOA(4¹⁶³, 129, F₄, 3, 58) (dual of [(129, 3), 224, 59]-NRT-code), using algebraic-geometric NRT-code AG(3;F,328P) [i] based on function field F/F₄ with g(F) = 105 and N(F) ≥ 130 (see above)
3. linear OOA(4⁴⁵, 27, F₄, 3, 35) (dual of [(27, 3), 36, 36]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,45P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, 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.