MinT - Information on Result #2542391

Information on Result #2542391

Linear OOA(64³⁴, 258, F₆₄, 2, 20) (dual of [(258, 2), 482, 21]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(64³², 257, F₆₄, 2, 20) (dual of [(257, 2), 482, 21]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(2;F,493P) [i] based on function field F/F₆₄ with g(F) = 12 and N(F) ≥ 257, using
- K_1,2 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F₆₄ [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 OOA(64³⁴, 258, F₆₄, 3, 20) (dual of [(258, 3), 740, 21]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Digital (14, 34, 258)-net over F₆₄	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound