MinT - Information on Result #872204

Information on Result #872204

Linear OOA(32⁸⁸, 76, F₃₂, 2, 61) (dual of [(76, 2), 64, 62]-NRT-code), using OOA 2-folding based on linear OA(32⁸⁸, 152, F₃₂, 61) (dual of [152, 64, 62]-code), using

constructionÂ X applied to AG(F,57P) âŠ‚ AG(F,74P) [i] based on
1. linear OA(32⁷², 119, F₃₂, 61) (dual of [119, 47, 62]-code), using algebraic-geometric code AG(F,57P) [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(32⁵⁵, 119, F₃₂, 44) (dual of [119, 64, 45]-code), using algebraic-geometric code AG(F,74P) [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.