MinT - Information on Result #1074670

Information on Result #1074670

Linear OOA(2⁵⁸, 44, F₂, 4, 20) (dual of [(44, 4), 118, 21]-NRT-code), using extracting embedded OOA based on digital (38, 58, 44)-net over F₂, using

trace code for nets [i] based on digital (9, 29, 22)-net over F₄, using
- net from sequence [i] based on digital (9, 21)-sequence over F₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 9 and N(F) ≥ 22, 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(2⁵⁹, 44, F₂, 4, 20) (dual of [(44, 4), 117, 21]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2⁵⁸, 22, F₂, 7, 20) (dual of [(22, 7), 96, 21]-NRT-code)	[i]		OOA Folding
3	Linear OOA(2⁵⁸, 22, F₂, 8, 20) (dual of [(22, 8), 118, 21]-NRT-code)	[i]		OOA Folding