MinT - Information on Result #1815960

Information on Result #1815960

OA(16⁹⁵, 134, S₁₆, 58), using discarding parts of the base based on linear OA(32⁷⁶, 134, F₃₂, 58) (dual of [134, 58, 59]-code), using

constructionÂ X applied to AG(F,60P) âŠ‚ AG(F,68P) [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(32⁶¹, 119, F₃₂, 50) (dual of [119, 58, 51]-code), using algebraic-geometric code AG(F,68P) [i] based on function field F/F₃₂ with g(F) = 11 and N(F) ≥ 120 (see above)
3. linear OA(32⁷, 15, F₃₂, 7) (dual of [15, 8, 8]-code or 15-arc in PG(6,32)), using
  - discarding factors / shortening the dual code based on linear OA(32⁷, 32, F₃₂, 7) (dual of [32, 25, 8]-code or 32-arc in PG(6,32)), using
    - Reedâ€“Solomon code RS(25,32) [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, 135, S₁₆, 58)	[i]		Code Embedding in Larger Space
2	OA(16⁹⁷, 136, S₁₆, 58)	[i]		Code Embedding in Larger Space