MinT - Information on Result #2636345

Information on Result #2636345

Linear OOA(4²²⁷, 118, F₄, 3, 129) (dual of [(118, 3), 127, 130]-NRT-code), using strength reduction based on linear OOA(4²²⁷, 118, F₄, 3, 130) (dual of [(118, 3), 127, 131]-NRT-code), using

constructionÂ X applied to AG(3;F,178P) âŠ‚ AG(3;F,199P) [i] based on
1. linear OOA(4²⁰³, 103, F₄, 3, 130) (dual of [(103, 3), 106, 131]-NRT-code), using algebraic-geometric NRT-code AG(3;F,178P) [i] based on function field F/F₄ with g(F) = 73 and N(F) ≥ 104, using
  - F₆ from the tower of function fields by GarcÃa and Stichtenoth over F₄ [i]
2. linear OOA(4¹⁸², 103, F₄, 3, 109) (dual of [(103, 3), 127, 110]-NRT-code), using algebraic-geometric NRT-code AG(3;F,199P) [i] based on function field F/F₄ with g(F) = 73 and N(F) ≥ 104 (see above)
3. linear OOA(4²⁴, 15, F₄, 3, 20) (dual of [(15, 3), 21, 21]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,24P) [i] based on function field F/F₄ with g(F) = 4 and N(F) ≥ 15, 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.