MinT - Information on Result #2498531

Information on Result #2498531

Linear OOA(4¹⁴³, 162, F₄, 2, 48) (dual of [(162, 2), 181, 49]-NRT-code), using 4¹ times duplication based on linear OOA(4¹⁴², 162, F₄, 2, 48) (dual of [(162, 2), 182, 49]-NRT-code), using

trace code [i] based on linear OOA(16⁷¹, 81, F₁₆, 2, 48) (dual of [(81, 2), 91, 49]-NRT-code), using
- constructionÂ X applied to AG(2;F,79P) âŠ‚ AG(2;F,97P) [i] based on
  1. linear OOA(16⁵⁴, 64, F₁₆, 2, 48) (dual of [(64, 2), 74, 49]-NRT-code), using algebraic-geometric NRT-code AG(2;F,79P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
    - the Hermitian function field over F₁₆ [i]
  2. linear OOA(16³⁶, 64, F₁₆, 2, 30) (dual of [(64, 2), 92, 31]-NRT-code), using algebraic-geometric NRT-code AG(2;F,97P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65 (see above)
  3. linear OOA(16¹⁷, 17, F₁₆, 2, 17) (dual of [(17, 2), 17, 18]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;17,16) [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.