MinT - Information on Result #1288181

Information on Result #1288181

Linear OA(8⁴⁰, 258, F₈, 16) (dual of [258, 218, 17]-code), using trace code based on linear OA(64²⁰, 129, F₆₄, 16) (dual of [129, 109, 17]-code), using

extended algebraic-geometric code AG_e(F,112P) [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(8⁴⁰, 258, F₈, 2, 16) (dual of [(258, 2), 476, 17]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(8⁴⁰, 258, F₈, 3, 16) (dual of [(258, 3), 734, 17]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
3	Linear OA(8⁴¹, 281, F₈, 16) (dual of [281, 240, 17]-code)	[i]		VarÅ¡amovâ€“Edel Lengthening