MinT - Information on Result #1294410

Information on Result #1294410

Linear OA(64⁷², 256, F₆₄, 60) (dual of [256, 184, 61]-code), using algebraic-geometric code AG(F,195P) 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(64⁷⁵, 259, F₆₄, 62) (dual of [259, 184, 63]-code)	[i]	✔	ConstructionÂ X with Algebraic-Geometric Codes
2	Linear OA(64⁷³, 259, F₆₄, 60) (dual of [259, 186, 61]-code)	[i]	✔
3	Linear OA(64⁷⁷, 261, F₆₄, 63) (dual of [261, 184, 64]-code)	[i]	✔
4	Linear OA(64⁷⁴, 261, F₆₄, 60) (dual of [261, 187, 61]-code)	[i]	✔
5	Linear OA(64⁷⁹, 263, F₆₄, 64) (dual of [263, 184, 65]-code)	[i]	✔
6	Linear OA(64⁷⁵, 263, F₆₄, 60) (dual of [263, 188, 61]-code)	[i]	✔