MinT - Information on Result #2289966

Information on Result #2289966

Linear OA(32⁷⁹, 153, F₃₂, 51) (dual of [153, 74, 52]-code), using 1 times code embedding in larger space based on linear OA(32⁷⁸, 152, F₃₂, 51) (dual of [152, 74, 52]-code), using

constructionÂ X applied to AG(F,67P) âŠ‚ AG(F,84P) [i] based on
1. linear OA(32⁶², 119, F₃₂, 51) (dual of [119, 57, 52]-code), using algebraic-geometric code AG(F,67P) [i] based on function field F/F₃₂ with g(F) = 11 and N(F) ≥ 120, using
  - a function field by SÃ©mirat [i]
2. linear OA(32⁴⁵, 119, F₃₂, 34) (dual of [119, 74, 35]-code), using algebraic-geometric code AG(F,84P) [i] based on function field F/F₃₂ with g(F) = 11 and N(F) ≥ 120 (see above)
3. linear OA(32¹⁶, 33, F₃₂, 16) (dual of [33, 17, 17]-code or 33-arc in PG(15,32)), using
  - extended Reedâ€“Solomon code RS_e(17,32) [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.