MinT - Information on Result #2788910

Information on Result #2788910

Linear OOA(2⁸², 85, F₂, 4, 21) (dual of [(85, 4), 258, 22]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2⁷⁸, 84, F₂, 4, 21) (dual of [(84, 4), 258, 22]-NRT-code), using

extracting embedded OOA [i] based on digital (57, 78, 84)-net over F₂, using
- trace code for nets [i] based on digital (5, 26, 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(2⁸³, 85, F₂, 4, 21) (dual of [(85, 4), 257, 22]-NRT-code)	[i]		OOA Duplication