MinT - Information on Result #2700975

Information on Result #2700975

Linear OOA(8¹⁶⁹, 1027, F₈, 3, 55) (dual of [(1027, 3), 2912, 56]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(8¹⁶⁶, 1026, F₈, 3, 55) (dual of [(1026, 3), 2912, 56]-NRT-code), using

extracting embedded OOA [i] based on digital (111, 166, 1026)-net over F₈, using
- trace code for nets [i] based on digital (28, 83, 513)-net over F₆₄, using
  - net from sequence [i] based on digital (28, 512)-sequence over F₆₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 28 and N(F) ≥ 513, using
      - the Hermitian function field over F₆₄ [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(8¹⁷⁰, 1027, F₈, 3, 55) (dual of [(1027, 3), 2911, 56]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(8¹⁷¹, 1027, F₈, 3, 55) (dual of [(1027, 3), 2910, 56]-NRT-code)	[i]		OOA Duplication