MinT - Information on Result #1006409

Information on Result #1006409

Linear OOA(8¹¹⁴, 354, F₈, 3, 50) (dual of [(354, 3), 948, 51]-NRT-code), using extracting embedded OOA based on digital (64, 114, 354)-net over F₈, using

trace code for nets [i] based on digital (7, 57, 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(8¹¹⁴, 354, F₈, 3, 49) (dual of [(354, 3), 948, 50]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(8¹¹⁷, 355, F₈, 3, 50) (dual of [(355, 3), 948, 51]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(8¹²⁰, 356, F₈, 3, 50) (dual of [(356, 3), 948, 51]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
4	Linear OOA(8¹¹⁵, 354, F₈, 3, 50) (dual of [(354, 3), 947, 51]-NRT-code)	[i]		OOA Duplication
5	Linear OOA(8¹³⁹, 363, F₈, 3, 50) (dual of [(363, 3), 950, 51]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
6	Linear OOA(8¹⁴⁰, 368, F₈, 3, 50) (dual of [(368, 3), 964, 51]-NRT-code)	[i]
7	Linear OOA(8¹⁴¹, 371, F₈, 3, 50) (dual of [(371, 3), 972, 51]-NRT-code)	[i]
8	Linear OOA(8¹⁴², 378, F₈, 3, 50) (dual of [(378, 3), 992, 51]-NRT-code)	[i]
9	Linear OOA(8¹⁴³, 379, F₈, 3, 50) (dual of [(379, 3), 994, 51]-NRT-code)	[i]
10	Linear OOA(8¹⁴⁴, 382, F₈, 3, 50) (dual of [(382, 3), 1002, 51]-NRT-code)	[i]
11	Linear OOA(8¹⁴⁶, 388, F₈, 3, 50) (dual of [(388, 3), 1018, 51]-NRT-code)	[i]
12	Linear OOA(8¹⁴⁷, 389, F₈, 3, 50) (dual of [(389, 3), 1020, 51]-NRT-code)	[i]
13	Linear OOA(8¹⁴⁸, 399, F₈, 3, 50) (dual of [(399, 3), 1049, 51]-NRT-code)	[i]
14	Linear OOA(8¹⁴⁹, 400, F₈, 3, 50) (dual of [(400, 3), 1051, 51]-NRT-code)	[i]
15	Linear OOA(8¹⁵⁰, 402, F₈, 3, 50) (dual of [(402, 3), 1056, 51]-NRT-code)	[i]
16	Linear OOA(8¹⁵³, 419, F₈, 3, 50) (dual of [(419, 3), 1104, 51]-NRT-code)	[i]