MinT - Information on Result #1295184

Information on Result #1295184

Linear OA(81⁴⁶, 243, F₈₁, 37) (dual of [243, 197, 38]-code), using algebraic-geometric code AG(F,205P) based on function field F/F₈₁ with g(F) = 9 and N(F) ≥ 244, using

K_1,1 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F₈₁ [i]

Mode: 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

The following results depend on this result:

	Result		This result only	Method
1	Linear OA(81⁴⁹, 246, F₈₁, 39) (dual of [246, 197, 40]-code)	[i]	✔	ConstructionÂ X with Algebraic-Geometric Codes
2	Linear OA(81⁴⁷, 246, F₈₁, 37) (dual of [246, 199, 38]-code)	[i]	✔
3	Linear OA(81⁵¹, 248, F₈₁, 40) (dual of [248, 197, 41]-code)	[i]	✔
4	Linear OA(81⁴⁸, 248, F₈₁, 37) (dual of [248, 200, 38]-code)	[i]	✔