MinT - Information on Result #1294384

Information on Result #1294384

Linear OA(64⁸⁵, 256, F₆₄, 73) (dual of [256, 171, 74]-code), using algebraic-geometric code AG(F,182P) 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(64⁸⁸, 259, F₆₄, 75) (dual of [259, 171, 76]-code)	[i]	✔	ConstructionÂ X with Algebraic-Geometric Codes
2	Linear OA(64⁸⁶, 259, F₆₄, 73) (dual of [259, 173, 74]-code)	[i]	✔
3	Linear OA(64⁹⁰, 261, F₆₄, 76) (dual of [261, 171, 77]-code)	[i]	✔
4	Linear OA(64⁸⁷, 261, F₆₄, 73) (dual of [261, 174, 74]-code)	[i]	✔
5	Linear OA(64⁸⁸, 263, F₆₄, 73) (dual of [263, 175, 74]-code)	[i]	✔