MinT - Information on Result #872084

Information on Result #872084

Linear OOA(32⁸⁵, 76, F₃₂, 2, 58) (dual of [(76, 2), 67, 59]-NRT-code), using OOA 2-folding based on linear OA(32⁸⁵, 152, F₃₂, 58) (dual of [152, 67, 59]-code), using

constructionÂ X applied to AG(F,60P) âŠ‚ AG(F,77P) [i] based on
1. linear OA(32⁶⁹, 119, F₃₂, 58) (dual of [119, 50, 59]-code), using algebraic-geometric code AG(F,60P) [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(32⁵², 119, F₃₂, 41) (dual of [119, 67, 42]-code), using algebraic-geometric code AG(F,77P) [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.