MinT - Information on Result #2289996

Information on Result #2289996

Linear OA(32⁹², 165, F₃₂, 57) (dual of [165, 73, 58]-code), using 2 times code embedding in larger space based on linear OA(32⁹⁰, 163, F₃₂, 57) (dual of [163, 73, 58]-code), using

constructionÂ X applied to AG(F,61P) âŠ‚ AG(F,83P) [i] based on
1. linear OA(32⁶⁸, 119, F₃₂, 57) (dual of [119, 51, 58]-code), using algebraic-geometric code AG(F,61P) [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(32⁴⁶, 119, F₃₂, 35) (dual of [119, 73, 36]-code), using algebraic-geometric code AG(F,83P) [i] based on function field F/F₃₂ with g(F) = 11 and N(F) ≥ 120 (see above)
3. linear OA(32²², 44, F₃₂, 21) (dual of [44, 22, 22]-code), using
  - extended algebraic-geometric code AG_e(F,22P) [i] based on function field F/F₃₂ with g(F) = 1 and N(F) ≥ 44, using
    - a function field by SÃ©mirat [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.