MinT - Information on Result #1075232

Information on Result #1075232

Linear OOA(2¹⁵⁶, 84, F₂, 4, 47) (dual of [(84, 4), 180, 48]-NRT-code), using extracting embedded OOA based on digital (109, 156, 84)-net over F₂, using

trace code for nets [i] based on digital (5, 52, 28)-net over F₈, using
- net from sequence [i] based on digital (5, 27)-sequence over F₈, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈ with g(F) = 5 and N(F) ≥ 28, using
    - a function field by SÃ©mirat [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(2¹⁵⁶, 84, F₂, 4, 46) (dual of [(84, 4), 180, 47]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁵⁷, 84, F₂, 4, 47) (dual of [(84, 4), 179, 48]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(2¹⁵⁸, 84, F₂, 4, 47) (dual of [(84, 4), 178, 48]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(2¹⁵⁶, 42, F₂, 7, 47) (dual of [(42, 7), 138, 48]-NRT-code)	[i]		OOA Folding
5	Linear OOA(2¹⁵⁶, 42, F₂, 8, 47) (dual of [(42, 8), 180, 48]-NRT-code)	[i]		OOA Folding