MinT - Information on Result #890797

Information on Result #890797

Linear OOA(8⁸⁸, 354, F₈, 2, 37) (dual of [(354, 2), 620, 38]-NRT-code), using extracting embedded OOA based on digital (51, 88, 354)-net over F₈, using

trace code for nets [i] based on digital (7, 44, 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(8⁹⁰, 355, F₈, 2, 37) (dual of [(355, 2), 620, 38]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(8⁹², 356, F₈, 2, 37) (dual of [(356, 2), 620, 38]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(8⁸⁹, 354, F₈, 2, 37) (dual of [(354, 2), 619, 38]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(8¹⁰⁷, 368, F₈, 2, 37) (dual of [(368, 2), 629, 38]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
5	Linear OOA(8¹⁰⁸, 371, F₈, 2, 37) (dual of [(371, 2), 634, 38]-NRT-code)	[i]
6	Linear OOA(8¹⁰⁹, 378, F₈, 2, 37) (dual of [(378, 2), 647, 38]-NRT-code)	[i]
7	Linear OOA(8¹¹⁰, 379, F₈, 2, 37) (dual of [(379, 2), 648, 38]-NRT-code)	[i]
8	Linear OOA(8¹¹¹, 382, F₈, 2, 37) (dual of [(382, 2), 653, 38]-NRT-code)	[i]
9	Linear OOA(8¹¹³, 388, F₈, 2, 37) (dual of [(388, 2), 663, 38]-NRT-code)	[i]
10	Linear OOA(8¹¹⁴, 389, F₈, 2, 37) (dual of [(389, 2), 664, 38]-NRT-code)	[i]
11	Linear OOA(8¹¹⁵, 399, F₈, 2, 37) (dual of [(399, 2), 683, 38]-NRT-code)	[i]
12	Linear OOA(8¹¹⁶, 400, F₈, 2, 37) (dual of [(400, 2), 684, 38]-NRT-code)	[i]
13	Linear OOA(8¹¹⁷, 402, F₈, 2, 37) (dual of [(402, 2), 687, 38]-NRT-code)	[i]
14	Linear OOA(8¹²⁰, 419, F₈, 2, 37) (dual of [(419, 2), 718, 38]-NRT-code)	[i]
15	Linear OOA(8¹²⁴, 484, F₈, 2, 37) (dual of [(484, 2), 844, 38]-NRT-code)	[i]
16	Linear OOA(8¹²⁶, 514, F₈, 2, 37) (dual of [(514, 2), 902, 38]-NRT-code)	[i]
17	Linear OOA(8¹²³, 421, F₈, 2, 37) (dual of [(421, 2), 719, 38]-NRT-code)	[i]
18	Linear OOA(8⁸⁸, 177, F₈, 3, 37) (dual of [(177, 3), 443, 38]-NRT-code)	[i]		OOA Folding