MinT - Information on Result #1295226

Information on Result #1295226

Linear OA(81²⁵, 243, F₈₁, 16) (dual of [243, 218, 17]-code), using algebraic-geometric code AG(F,226P) 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(81²⁸, 246, F₈₁, 18) (dual of [246, 218, 19]-code)	[i]	✔	ConstructionÂ X with Algebraic-Geometric Codes
2	Linear OA(81²⁶, 246, F₈₁, 16) (dual of [246, 220, 17]-code)	[i]	✔
3	Linear OA(81³⁰, 248, F₈₁, 19) (dual of [248, 218, 20]-code)	[i]	✔
4	Linear OA(81²⁷, 248, F₈₁, 16) (dual of [248, 221, 17]-code)	[i]	✔