MinT - Information on Result #2816613

Information on Result #2816613

Linear OOA(2¹⁰⁹, 66, F₂, 4, 41) (dual of [(66, 4), 155, 42]-NRT-code), using 2¹ times duplication based on linear OOA(2¹⁰⁸, 66, F₂, 4, 41) (dual of [(66, 4), 156, 42]-NRT-code), using

extracting embedded OOA [i] based on digital (67, 108, 66)-net over F₂, using
- trace code for nets [i] based on digital (13, 54, 33)-net over F₄, using
  - net from sequence [i] based on digital (13, 32)-sequence over F₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 13 and N(F) ≥ 33, using
      - Drinfeld modules of rank 1 [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(2¹⁰⁹, 66, F₂, 5, 41) (dual of [(66, 5), 221, 42]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(2¹⁰⁹, 66, F₂, 6, 41) (dual of [(66, 6), 287, 42]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound