MinT - Information on Result #1004769

Information on Result #1004769

Linear OOA(7²⁶, 100, F₇, 3, 13) (dual of [(100, 3), 274, 14]-NRT-code), using extracting embedded OOA based on digital (13, 26, 100)-net over F₇, using

trace code for nets [i] based on digital (0, 13, 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(7²⁷, 100, F₇, 3, 13) (dual of [(100, 3), 273, 14]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(7³², 108, F₇, 3, 13) (dual of [(108, 3), 292, 14]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
3	Linear OOA(7³³, 113, F₇, 3, 13) (dual of [(113, 3), 306, 14]-NRT-code)	[i]
4	Linear OOA(7³⁶, 121, F₇, 3, 13) (dual of [(121, 3), 327, 14]-NRT-code)	[i]
5	Linear OOA(7³⁷, 150, F₇, 3, 13) (dual of [(150, 3), 413, 14]-NRT-code)	[i]
6	Linear OOA(7³⁸, 200, F₇, 3, 13) (dual of [(200, 3), 562, 14]-NRT-code)	[i]
7	Linear OOA(7⁷⁸, 200, F₇, 3, 26) (dual of [(200, 3), 522, 27]-NRT-code)	[i]
8	Linear OOA(7⁸⁰, 202, F₇, 3, 26) (dual of [(202, 3), 526, 27]-NRT-code)	[i]
9	Linear OOA(7⁸⁰, 200, F₇, 3, 27) (dual of [(200, 3), 520, 28]-NRT-code)	[i]
10	Linear OOA(7⁸², 202, F₇, 3, 27) (dual of [(202, 3), 524, 28]-NRT-code)	[i]
11	Linear OOA(7⁴², 208, F₇, 3, 13) (dual of [(208, 3), 582, 14]-NRT-code)	[i]		Generalized (u,Â u+v)-Construction for OOAs
12	Linear OOA(7⁴³, 213, F₇, 3, 13) (dual of [(213, 3), 596, 14]-NRT-code)	[i]		Generalized (u,Â u+v)-Construction for OOAs