MinT - Information on Result #1815961

Information on Result #1815961

OA(16⁹⁵, 132, S₁₆, 59), using discarding parts of the base based on linear OA(32⁷⁶, 132, F₃₂, 59) (dual of [132, 56, 60]-code), using

constructionÂ X applied to AG(F,59P) âŠ‚ AG(F,66P) [i] based on
1. linear OA(32⁷⁰, 119, F₃₂, 59) (dual of [119, 49, 60]-code), using algebraic-geometric code AG(F,59P) [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(32⁶³, 119, F₃₂, 52) (dual of [119, 56, 53]-code), using algebraic-geometric code AG(F,66P) [i] based on function field F/F₃₂ with g(F) = 11 and N(F) ≥ 120 (see above)
3. linear OA(32⁶, 13, F₃₂, 6) (dual of [13, 7, 7]-code or 13-arc in PG(5,32)), using
  - discarding factors / shortening the dual code based on linear OA(32⁶, 32, F₃₂, 6) (dual of [32, 26, 7]-code or 32-arc in PG(5,32)), using
    - Reedâ€“Solomon code RS(26,32) [i]

Mode: Constructive.

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

The following results depend on this result:

	Result		This result only	Method
1	OA(16⁹⁶, 133, S₁₆, 59)	[i]		Code Embedding in Larger Space
2	OA(16⁹⁷, 134, S₁₆, 59)	[i]		Code Embedding in Larger Space