MinT - Information on Result #1288201

Information on Result #1288201

Linear OA(8⁵⁰, 258, F₈, 21) (dual of [258, 208, 22]-code), using trace code based on linear OA(64²⁵, 129, F₆₄, 21) (dual of [129, 104, 22]-code), using

extended algebraic-geometric code AG_e(F,107P) [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 OOA(8⁵⁰, 232, F₈, 2, 21) (dual of [(232, 2), 414, 22]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OA(8⁵¹, 262, F₈, 21) (dual of [262, 211, 22]-code)	[i]		VarÅ¡amovâ€“Edel Lengthening
3	Linear OA(8⁵², 278, F₈, 21) (dual of [278, 226, 22]-code)	[i]
4	Linear OA(8⁵³, 304, F₈, 21) (dual of [304, 251, 22]-code)	[i]
5	Linear OA(8⁵⁴, 336, F₈, 21) (dual of [336, 282, 22]-code)	[i]
6	Linear OA(8⁵¹, 260, F₈, 21) (dual of [260, 209, 22]-code)	[i]		ConstructionÂ X with VarÅ¡amov Bound