MinT - Information on Result #1294408

Information on Result #1294408

Linear OA(64⁷³, 256, F₆₄, 61) (dual of [256, 183, 62]-code), using algebraic-geometric code AG(F,194P) 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(64⁷⁶, 259, F₆₄, 63) (dual of [259, 183, 64]-code)	[i]	✔	ConstructionÂ X with Algebraic-Geometric Codes
2	Linear OA(64⁷⁴, 259, F₆₄, 61) (dual of [259, 185, 62]-code)	[i]	✔
3	Linear OA(64⁷⁸, 261, F₆₄, 64) (dual of [261, 183, 65]-code)	[i]	✔
4	Linear OA(64⁷⁵, 261, F₆₄, 61) (dual of [261, 186, 62]-code)	[i]	✔
5	Linear OA(64⁸⁰, 263, F₆₄, 65) (dual of [263, 183, 66]-code)	[i]	✔
6	Linear OA(64⁷⁶, 263, F₆₄, 61) (dual of [263, 187, 62]-code)	[i]	✔