MinT - Information on Result #1295168

Information on Result #1295168

Linear OA(81⁵⁴, 243, F₈₁, 45) (dual of [243, 189, 46]-code), using algebraic-geometric code AG(F,197P) 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(81⁵⁷, 246, F₈₁, 47) (dual of [246, 189, 48]-code)	[i]	✔	ConstructionÂ X with Algebraic-Geometric Codes
2	Linear OA(81⁵⁵, 246, F₈₁, 45) (dual of [246, 191, 46]-code)	[i]	✔
3	Linear OA(81⁵⁹, 248, F₈₁, 48) (dual of [248, 189, 49]-code)	[i]	✔
4	Linear OA(81⁵⁶, 248, F₈₁, 45) (dual of [248, 192, 46]-code)	[i]	✔