MinT - Information on Result #2542663

Information on Result #2542663

Linear OOA(81²⁸, 245, F₈₁, 2, 17) (dual of [(245, 2), 462, 18]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(81²⁶, 244, F₈₁, 2, 17) (dual of [(244, 2), 462, 18]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(2;F,470P) [i] 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		Method
1	Linear OOA(81²⁸, 245, F₈₁, 3, 17) (dual of [(245, 3), 707, 18]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(81²⁸, 245, F₈₁, 4, 17) (dual of [(245, 4), 952, 18]-NRT-code)	[i]
3	Digital (11, 28, 245)-net over F₈₁	[i]