MinT - Information on Result #1294496

Information on Result #1294496

Linear OA(64²⁹, 256, F₆₄, 17) (dual of [256, 227, 18]-code), using algebraic-geometric code AG(F,238P) 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 OA(64³², 259, F₆₄, 19) (dual of [259, 227, 20]-code)	[i]	✔	ConstructionÂ X with Algebraic-Geometric Codes
2	Linear OA(64³⁴, 261, F₆₄, 20) (dual of [261, 227, 21]-code)	[i]	✔
3	Linear OA(64³⁶, 263, F₆₄, 21) (dual of [263, 227, 22]-code)	[i]	✔