MinT - Information on Result #1006213

Information on Result #1006213

Linear OOA(8⁶⁸, 354, F₈, 3, 27) (dual of [(354, 3), 994, 28]-NRT-code), using extracting embedded OOA based on digital (41, 68, 354)-net over F₈, using

trace code for nets [i] based on digital (7, 34, 177)-net over F₆₄, using
- net from sequence [i] based on digital (7, 176)-sequence over F₆₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
    - a function field by GarcÃa and Quoos [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(8⁶⁸, 354, F₈, 3, 26) (dual of [(354, 3), 994, 27]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(8⁷¹, 355, F₈, 3, 27) (dual of [(355, 3), 994, 28]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(8⁷⁴, 356, F₈, 3, 27) (dual of [(356, 3), 994, 28]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
4	Linear OOA(8⁶⁹, 354, F₈, 3, 27) (dual of [(354, 3), 993, 28]-NRT-code)	[i]		OOA Duplication
5	Linear OOA(8⁸¹, 363, F₈, 3, 27) (dual of [(363, 3), 1008, 28]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
6	Linear OOA(8⁸², 368, F₈, 3, 27) (dual of [(368, 3), 1022, 28]-NRT-code)	[i]
7	Linear OOA(8⁸³, 371, F₈, 3, 27) (dual of [(371, 3), 1030, 28]-NRT-code)	[i]
8	Linear OOA(8⁸⁴, 378, F₈, 3, 27) (dual of [(378, 3), 1050, 28]-NRT-code)	[i]
9	Linear OOA(8⁸⁵, 379, F₈, 3, 27) (dual of [(379, 3), 1052, 28]-NRT-code)	[i]
10	Linear OOA(8⁸⁶, 382, F₈, 3, 27) (dual of [(382, 3), 1060, 28]-NRT-code)	[i]
11	Linear OOA(8⁸⁸, 388, F₈, 3, 27) (dual of [(388, 3), 1076, 28]-NRT-code)	[i]
12	Linear OOA(8⁸⁹, 389, F₈, 3, 27) (dual of [(389, 3), 1078, 28]-NRT-code)	[i]
13	Linear OOA(8⁹⁰, 399, F₈, 3, 27) (dual of [(399, 3), 1107, 28]-NRT-code)	[i]
14	Linear OOA(8⁹¹, 400, F₈, 3, 27) (dual of [(400, 3), 1109, 28]-NRT-code)	[i]