MinT - Information on Result #890915

Information on Result #890915

Linear OOA(8¹³⁴, 354, F₈, 2, 60) (dual of [(354, 2), 574, 61]-NRT-code), using extracting embedded OOA based on digital (74, 134, 354)-net over F₈, using

trace code for nets [i] based on digital (7, 67, 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(8¹³⁶, 355, F₈, 2, 60) (dual of [(355, 2), 574, 61]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(8¹³⁸, 356, F₈, 2, 60) (dual of [(356, 2), 574, 61]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(8¹³⁵, 354, F₈, 2, 60) (dual of [(354, 2), 573, 61]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(8¹⁶⁵, 370, F₈, 2, 60) (dual of [(370, 2), 575, 61]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
5	Linear OOA(8¹⁶⁶, 371, F₈, 2, 60) (dual of [(371, 2), 576, 61]-NRT-code)	[i]
6	Linear OOA(8¹⁶⁷, 378, F₈, 2, 60) (dual of [(378, 2), 589, 61]-NRT-code)	[i]
7	Linear OOA(8¹⁶⁸, 379, F₈, 2, 60) (dual of [(379, 2), 590, 61]-NRT-code)	[i]
8	Linear OOA(8¹⁶⁹, 382, F₈, 2, 60) (dual of [(382, 2), 595, 61]-NRT-code)	[i]
9	Linear OOA(8¹⁷¹, 388, F₈, 2, 60) (dual of [(388, 2), 605, 61]-NRT-code)	[i]
10	Linear OOA(8¹⁷², 389, F₈, 2, 60) (dual of [(389, 2), 606, 61]-NRT-code)	[i]
11	Linear OOA(8¹⁷³, 399, F₈, 2, 60) (dual of [(399, 2), 625, 61]-NRT-code)	[i]
12	Linear OOA(8¹³⁴, 177, F₈, 3, 60) (dual of [(177, 3), 397, 61]-NRT-code)	[i]		OOA Folding