MinT - Information on Result #1075148

Information on Result #1075148

Linear OOA(2¹⁴², 56, F₂, 4, 59) (dual of [(56, 4), 82, 60]-NRT-code), using extracting embedded OOA based on digital (83, 142, 56)-net over F₂, using

trace code for nets [i] based on digital (12, 71, 28)-net over F₄, using
- net from sequence [i] based on digital (12, 27)-sequence over F₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 12 and N(F) ≥ 28, 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(2¹⁴³, 56, F₂, 4, 59) (dual of [(56, 4), 81, 60]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2¹⁴², 28, F₂, 7, 59) (dual of [(28, 7), 54, 60]-NRT-code)	[i]		OOA Folding
3	Linear OOA(2¹⁴², 28, F₂, 8, 59) (dual of [(28, 8), 82, 60]-NRT-code)	[i]		OOA Folding