MinT - Information on Result #1003353

Information on Result #1003353

Linear OOA(4¹⁵³, 195, F₄, 3, 51) (dual of [(195, 3), 432, 52]-NRT-code), using extracting embedded OOA based on digital (102, 153, 195)-net over F₄, using

trace code for nets [i] based on digital (0, 51, 65)-net over F₆₄, using
- net from sequence [i] based on digital (0, 64)-sequence over F₆₄, using
  - generalized Faure sequence [i]
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 0 and N(F) ≥ 65, using
    - the rational function field F₆₄(x) [i]
  - Niederreiter sequence [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(4¹⁵⁴, 195, F₄, 3, 51) (dual of [(195, 3), 431, 52]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(4¹⁵⁵, 195, F₄, 3, 51) (dual of [(195, 3), 430, 52]-NRT-code)	[i]		OOA Duplication