MinT - Information on Result #2637335

Information on Result #2637335

Linear OOA(4²³⁹, 143, F₄, 3, 111) (dual of [(143, 3), 190, 112]-NRT-code), using strength reduction based on linear OOA(4²³⁹, 143, F₄, 3, 112) (dual of [(143, 3), 190, 113]-NRT-code), using

constructionÂ X applied to AG(3;F,274P) âŠ‚ AG(3;F,294P) [i] based on
1. linear OOA(4²¹⁷, 129, F₄, 3, 112) (dual of [(129, 3), 170, 113]-NRT-code), using algebraic-geometric NRT-code AG(3;F,274P) [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(4¹⁹⁷, 129, F₄, 3, 92) (dual of [(129, 3), 190, 93]-NRT-code), using algebraic-geometric NRT-code AG(3;F,294P) [i] based on function field F/F₄ with g(F) = 105 and N(F) ≥ 130 (see above)
3. linear OOA(4²², 14, F₄, 3, 19) (dual of [(14, 3), 20, 20]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,22P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, 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.