MinT - Information on Result #1110571

Information on Result #1110571

Linear OOA(2¹⁵⁰, 84, F₂, 5, 45) (dual of [(84, 5), 270, 46]-NRT-code), using extracting embedded OOA based on digital (105, 150, 84)-net over F₂, using

trace code for nets [i] based on digital (5, 50, 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(2¹⁵⁰, 84, F₂, 5, 44) (dual of [(84, 5), 270, 45]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁵⁵, 85, F₂, 5, 45) (dual of [(85, 5), 270, 46]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(2¹⁵¹, 84, F₂, 5, 45) (dual of [(84, 5), 269, 46]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(2¹⁵², 84, F₂, 5, 45) (dual of [(84, 5), 268, 46]-NRT-code)	[i]
5	Linear OOA(2¹⁵⁴, 84, F₂, 5, 45) (dual of [(84, 5), 266, 46]-NRT-code)	[i]