MinT - Information on Result #1139852

Information on Result #1139852

Linear OOA(2⁵⁰, 34, F₂, 6, 20) (dual of [(34, 6), 154, 21]-NRT-code), using extracting embedded OOA based on digital (30, 50, 34)-net over F₂, using

trace code for nets [i] based on digital (5, 25, 17)-net over F₄, using
- net from sequence [i] based on digital (5, 16)-sequence over F₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, 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(2⁵⁰, 34, F₂, 6, 19) (dual of [(34, 6), 154, 20]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2⁵¹, 34, F₂, 6, 20) (dual of [(34, 6), 153, 21]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(2⁵³, 34, F₂, 6, 20) (dual of [(34, 6), 151, 21]-NRT-code)	[i]		OOA Duplication