MinT - Information on Result #890872

Information on Result #890872

Linear OOA(8¹¹⁸, 354, F₈, 2, 52) (dual of [(354, 2), 590, 53]-NRT-code), using extracting embedded OOA based on digital (66, 118, 354)-net over F₈, using

trace code for nets [i] based on digital (7, 59, 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(8¹²⁰, 355, F₈, 2, 52) (dual of [(355, 2), 590, 53]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(8¹²², 356, F₈, 2, 52) (dual of [(356, 2), 590, 53]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(8¹¹⁹, 354, F₈, 2, 52) (dual of [(354, 2), 589, 53]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(8¹⁴⁵, 368, F₈, 2, 52) (dual of [(368, 2), 591, 53]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
5	Linear OOA(8¹⁴⁶, 371, F₈, 2, 52) (dual of [(371, 2), 596, 53]-NRT-code)	[i]
6	Linear OOA(8¹⁴⁷, 378, F₈, 2, 52) (dual of [(378, 2), 609, 53]-NRT-code)	[i]
7	Linear OOA(8¹⁴⁸, 379, F₈, 2, 52) (dual of [(379, 2), 610, 53]-NRT-code)	[i]
8	Linear OOA(8¹⁴⁹, 382, F₈, 2, 52) (dual of [(382, 2), 615, 53]-NRT-code)	[i]
9	Linear OOA(8¹⁵¹, 388, F₈, 2, 52) (dual of [(388, 2), 625, 53]-NRT-code)	[i]
10	Linear OOA(8¹⁵², 389, F₈, 2, 52) (dual of [(389, 2), 626, 53]-NRT-code)	[i]
11	Linear OOA(8¹⁵³, 399, F₈, 2, 52) (dual of [(399, 2), 645, 53]-NRT-code)	[i]
12	Linear OOA(8¹⁵⁴, 400, F₈, 2, 52) (dual of [(400, 2), 646, 53]-NRT-code)	[i]
13	Linear OOA(8¹⁵⁵, 402, F₈, 2, 52) (dual of [(402, 2), 649, 53]-NRT-code)	[i]
14	Linear OOA(8¹⁵⁸, 419, F₈, 2, 52) (dual of [(419, 2), 680, 53]-NRT-code)	[i]
15	Linear OOA(8¹¹⁸, 177, F₈, 3, 52) (dual of [(177, 3), 413, 53]-NRT-code)	[i]		OOA Folding