MinT - Information on Result #2538760

Information on Result #2538760

Linear OOA(8¹¹¹, 322, F₈, 2, 49) (dual of [(322, 2), 533, 50]-NRT-code), using 8¹ times duplication based on linear OOA(8¹¹⁰, 322, F₈, 2, 49) (dual of [(322, 2), 534, 50]-NRT-code), using

extracting embedded OOA [i] based on digital (61, 110, 322)-net over F₈, using
- trace code for nets [i] based on digital (6, 55, 161)-net over F₆₄, using
  - net from sequence [i] based on digital (6, 160)-sequence over F₆₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 6 and N(F) ≥ 161, using
      - a curve from the manYPoints database [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(8¹¹¹, 322, F₈, 3, 49) (dual of [(322, 3), 855, 50]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound