MinT - Information on Result #1465922

Information on Result #1465922

Linear OOA(8¹⁴⁶, 514, F₈, 2, 61) (dual of [(514, 2), 882, 62]-NRT-code), using extracting embedded OOA based on digital (85, 146, 514)-net over F₈, using

trace code for nets [i] based on digital (12, 73, 257)-net over F₆₄, using
- net from sequence [i] based on digital (12, 256)-sequence over F₆₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] 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 OOA(8¹⁴⁶, 514, F₈, 3, 61) (dual of [(514, 3), 1396, 62]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound