MinT - Information on Result #1000377

Information on Result #1000377

Linear OOA(2⁵⁶, 44, F₂, 3, 19) (dual of [(44, 3), 76, 20]-NRT-code), using extracting embedded OOA based on digital (37, 56, 44)-net over F₂, using

trace code for nets [i] based on digital (9, 28, 22)-net over F₄, using
- net from sequence [i] based on digital (9, 21)-sequence over F₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 9 and N(F) ≥ 22, 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(2⁵⁷, 44, F₂, 3, 19) (dual of [(44, 3), 75, 20]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2⁵⁶, 22, F₂, 5, 19) (dual of [(22, 5), 54, 20]-NRT-code)	[i]		OOA Folding
3	Linear OOA(2⁵⁶, 22, F₂, 6, 19) (dual of [(22, 6), 76, 20]-NRT-code)	[i]		OOA Folding