MinT - Information on Result #2509257

Information on Result #2509257

Linear OOA(8⁵⁸, 257, F₈, 2, 23) (dual of [(257, 2), 456, 24]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(8⁵⁶, 256, F₈, 2, 23) (dual of [(256, 2), 456, 24]-NRT-code), using

extracting embedded OOA [i] based on digital (33, 56, 256)-net over F₈, using
- trace code for nets [i] based on digital (5, 28, 128)-net over F₆₄, using
  - net from sequence [i] based on digital (5, 127)-sequence over F₆₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 5 and N(F) ≥ 128, 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(8⁵⁹, 257, F₈, 2, 23) (dual of [(257, 2), 455, 24]-NRT-code)	[i]		OOA Duplication