MinT - Information on Result #1000719

Information on Result #1000719

Linear OOA(2¹²⁶, 66, F₂, 3, 48) (dual of [(66, 3), 72, 49]-NRT-code), using extracting embedded OOA based on digital (78, 126, 66)-net over F₂, using

trace code for nets [i] based on digital (15, 63, 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(2¹²⁷, 66, F₂, 3, 48) (dual of [(66, 3), 71, 49]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2¹⁵², 75, F₂, 3, 48) (dual of [(75, 3), 73, 49]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
3	Linear OOA(2¹²⁶, 33, F₂, 5, 48) (dual of [(33, 5), 39, 49]-NRT-code)	[i]		OOA Folding
4	Linear OOA(2¹²⁶, 33, F₂, 6, 48) (dual of [(33, 6), 72, 49]-NRT-code)	[i]		OOA Folding