MinT - Information on Result #1288249

Information on Result #1288249

Linear OA(8⁷⁰, 258, F₈, 31) (dual of [258, 188, 32]-code), using trace code based on linear OA(64³⁵, 129, F₆₄, 31) (dual of [129, 94, 32]-code), using

extended algebraic-geometric code AG_e(F,97P) [i] based on function field F/F₆₄ with g(F) = 4 and N(F) ≥ 129, using
- K_1,1 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(8⁷¹, 261, F₈, 31) (dual of [261, 190, 32]-code)	[i]		VarÅ¡amovâ€“Edel Lengthening
2	Linear OA(8⁷², 270, F₈, 31) (dual of [270, 198, 32]-code)	[i]
3	Linear OA(8⁷³, 287, F₈, 31) (dual of [287, 214, 32]-code)	[i]
4	Linear OA(8⁷¹, 260, F₈, 31) (dual of [260, 189, 32]-code)	[i]		ConstructionÂ X with VarÅ¡amov Bound