MinT - Information on Result #2638436

Information on Result #2638436

Linear OOA(4²⁵², 113, F₄, 3, 162) (dual of [(113, 3), 87, 163]-NRT-code), using strength reduction based on linear OOA(4²⁵², 113, F₄, 3, 163) (dual of [(113, 3), 87, 164]-NRT-code), using

constructionÂ X applied to AG(3;F,145P) âŠ‚ AG(3;F,160P) [i] based on
1. linear OOA(4²³⁶, 103, F₄, 3, 163) (dual of [(103, 3), 73, 164]-NRT-code), using algebraic-geometric NRT-code AG(3;F,145P) [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(4²²¹, 103, F₄, 3, 148) (dual of [(103, 3), 88, 149]-NRT-code), using algebraic-geometric NRT-code AG(3;F,160P) [i] based on function field F/F₄ with g(F) = 73 and N(F) ≥ 104 (see above)
3. linear OOA(4¹⁶, 10, F₄, 3, 14) (dual of [(10, 3), 14, 15]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,15P) [i] based on function field F/F₄ with g(F) = 2 and N(F) ≥ 10, 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.