MinT - Information on Result #890113

Information on Result #890113

Linear OOA(7¹², 100, F₇, 2, 6) (dual of [(100, 2), 188, 7]-NRT-code), using extracting embedded OOA based on digital (6, 12, 100)-net over F₇, using

trace code for nets [i] based on digital (0, 6, 50)-net over F₄₉, using
- net from sequence [i] based on digital (0, 49)-sequence over F₄₉, using
  - generalized Faure sequence [i]
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄₉ with g(F) = 0 and N(F) ≥ 50, using
    - the rational function field F₄₉(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(7¹³, 100, F₇, 2, 6) (dual of [(100, 2), 187, 7]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(7¹⁵, 108, F₇, 2, 6) (dual of [(108, 2), 201, 7]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
3	Linear OOA(7¹⁷, 200, F₇, 2, 6) (dual of [(200, 2), 383, 7]-NRT-code)	[i]
4	Linear OOA(7³⁶, 200, F₇, 2, 12) (dual of [(200, 2), 364, 13]-NRT-code)	[i]
5	Linear OOA(7¹⁰², 5764904, F₇, 2, 12) (dual of [(5764904, 2), 11529706, 13]-NRT-code)	[i]
6	Linear OOA(7¹⁰⁴, 5764910, F₇, 2, 12) (dual of [(5764910, 2), 11529716, 13]-NRT-code)	[i]
7	Linear OOA(7³⁸, 200, F₇, 2, 13) (dual of [(200, 2), 362, 14]-NRT-code)	[i]
8	Linear OOA(7⁴⁰, 202, F₇, 2, 13) (dual of [(202, 2), 364, 14]-NRT-code)	[i]
9	Linear OOA(7¹¹⁰, 5764904, F₇, 2, 13) (dual of [(5764904, 2), 11529698, 14]-NRT-code)	[i]
10	Linear OOA(7⁴², 208, F₇, 2, 13) (dual of [(208, 2), 374, 14]-NRT-code)	[i]		Generalized (u,Â u+v)-Construction for OOAs
11	Linear OOA(7¹⁹, 208, F₇, 2, 6) (dual of [(208, 2), 397, 7]-NRT-code)	[i]		Generalized (u,Â u+v)-Construction for OOAs
12	Linear OOA(7¹², 50, F₇, 3, 6) (dual of [(50, 3), 138, 7]-NRT-code)	[i]		OOA Folding