MinT - Information on Result #1000351

Information on Result #1000351

Linear OOA(2⁵⁰, 30, F₂, 3, 21) (dual of [(30, 3), 40, 22]-NRT-code), using extracting embedded OOA based on digital (29, 50, 30)-net over F₂, using

trace code for nets [i] based on digital (4, 25, 15)-net over F₄, using
- net from sequence [i] based on digital (4, 14)-sequence over F₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 4 and N(F) ≥ 15, 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(2⁵¹, 30, F₂, 3, 21) (dual of [(30, 3), 39, 22]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2⁵⁰, 15, F₂, 5, 21) (dual of [(15, 5), 25, 22]-NRT-code)	[i]		OOA Folding
3	Linear OOA(2⁵⁰, 15, F₂, 6, 21) (dual of [(15, 6), 40, 22]-NRT-code)	[i]		OOA Folding