MinT - Information on Result #1000683

Information on Result #1000683

Linear OOA(2¹²⁰, 66, F₂, 3, 45) (dual of [(66, 3), 78, 46]-NRT-code), using extracting embedded OOA based on digital (75, 120, 66)-net over F₂, using

trace code for nets [i] based on digital (15, 60, 33)-net over F₄, using
- net from sequence [i] based on digital (15, 32)-sequence over F₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, using
    - an explicitly constructive algebraic function field [i]

Mode: Constructive and 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(2¹²⁰, 66, F₂, 3, 44) (dual of [(66, 3), 78, 45]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹²¹, 66, F₂, 3, 45) (dual of [(66, 3), 77, 46]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(2¹⁴³, 74, F₂, 3, 45) (dual of [(74, 3), 79, 46]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
4	Linear OOA(2¹⁴⁸, 76, F₂, 3, 45) (dual of [(76, 3), 80, 46]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
5	Linear OOA(2¹²⁰, 33, F₂, 5, 45) (dual of [(33, 5), 45, 46]-NRT-code)	[i]		OOA Folding
6	Linear OOA(2¹²⁰, 33, F₂, 6, 45) (dual of [(33, 6), 78, 46]-NRT-code)	[i]		OOA Folding